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Simplifying -4(7 + 4m) + -3 = -8m + 9 (7 * -4 + 4m * -4) + -3 = -8m + 9 (-28 + -16m) + -3 = -8m + 9 Reorder the terms: -28 + -3 + -16m = -8m + 9 Combine like terms: -28 + -3 = -31 -31 + -16m = -8m + 9 Reorder the terms: -31 + -16m = 9 + -8m Solving -31 + -16m = 9 + -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 + -16m + 8m = 9 + -8m + 8m Combine like terms: -16m + 8m = -8m -31 + -8m = 9 + -8m + 8m Combine like terms: -8m + 8m = 0 -31 + -8m = 9 + 0 -31 + -8m = 9 Add '31' to each side of the equation. -31 + 31 + -8m = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -8m = 9 + 31 -8m = 9 + 31 Combine like terms: 9 + 31 = 40 -8m = 40 Divide each side by '-8'. m = -5 Simplifying m = -5
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