Answer :
Final answer:
To solve the equation, isolate the variable m on one side by simplifying and rearranging terms. The solution for m is approximately -0.36. Checking the solution by substituting it back into the original equation confirms its correctness.
Explanation:
To solve the equation 1.5m + 4 = 7m + 6, we need to isolate the variable m on one side of the equation. First, let's simplify both sides by combining like terms. Subtracting 1.5m from both sides gives us 4 = 5.5m + 6. Next, subtract 6 from both sides to get -2 = 5.5m. Finally, divide both sides by 5.5 to solve for m. This gives us m = -2 / 5.5, which simplifies to m ≈ -0.36.
To check our solution, substitute the value of m back into the original equation. We have 1.5(-0.36) + 4 = 7(-0.36) + 6. Simplifying both sides gives us 3.4 = 3.4, which validates our solution.
Learn more about Solving equations here:
https://brainly.com/question/14410653
Answer:
m = -4/11
or
-0.3636363636363636
Step-by-step explanation:
- Solve the following equations. Check ya
- 1.5m + 4 = 7m + 6
1.5m + 4 = 7m + 6
1.5m - 7m = 6 - 4
-5.5m = -2
m = -2 : 5.5
m = -(4/11) or -0.3636363636363636
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check
1.5 × (-4/11) + 4 = 7 × (-4/11) + 6
0 = 0
