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Simplifying -4(m + 2) + 2m = 5(10 + -12m) + -3 Reorder the terms: -4(2 + m) + 2m = 5(10 + -12m) + -3 (2 * -4 + m * -4) + 2m = 5(10 + -12m) + -3 (-8 + -4m) + 2m = 5(10 + -12m) + -3 Combine like terms: -4m + 2m = -2m -8 + -2m = 5(10 + -12m) + -3 -8 + -2m = (10 * 5 + -12m * 5) + -3 -8 + -2m = (50 + -60m) + -3 Reorder the terms: -8 + -2m = 50 + -3 + -60m Combine like terms: 50 + -3 = 47 -8 + -2m = 47 + -60m Solving -8 + -2m = 47 + -60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '60m' to each side of the equation. -8 + -2m + 60m = 47 + -60m + 60m Combine like terms: -2m + 60m = 58m -8 + 58m = 47 + -60m + 60m Combine like terms: -60m + 60m = 0 -8 + 58m = 47 + 0 -8 + 58m = 47 Add '8' to each side of the equation. -8 + 8 + 58m = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 58m = 47 + 8 58m = 47 + 8 Combine like terms: 47 + 8 = 55 58m = 55 Divide each side by '58'. m = 0.9482758621 Simplifying m = 0.9482758621
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