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Simplifying -31 + 7m = 4(2m + -7) + 3 Reorder the terms: -31 + 7m = 4(-7 + 2m) + 3 -31 + 7m = (-7 * 4 + 2m * 4) + 3 -31 + 7m = (-28 + 8m) + 3 Reorder the terms: -31 + 7m = -28 + 3 + 8m Combine like terms: -28 + 3 = -25 -31 + 7m = -25 + 8m Solving -31 + 7m = -25 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -31 + 7m + -8m = -25 + 8m + -8m Combine like terms: 7m + -8m = -1m -31 + -1m = -25 + 8m + -8m Combine like terms: 8m + -8m = 0 -31 + -1m = -25 + 0 -31 + -1m = -25 Add '31' to each side of the equation. -31 + 31 + -1m = -25 + 31 Combine like terms: -31 + 31 = 0 0 + -1m = -25 + 31 -1m = -25 + 31 Combine like terms: -25 + 31 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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