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Simplifying -1[m + -1(-4)] + -1(-1m + -5) + -2(3m + -7) = -1(-7 + -2m) Multiply -1 * -4 -1[m + 4] + -1(-1m + -5) + -2(3m + -7) = -1(-7 + -2m) Reorder the terms: -1[4 + m] + -1(-1m + -5) + -2(3m + -7) = -1(-7 + -2m) [4 * -1 + m * -1] + -1(-1m + -5) + -2(3m + -7) = -1(-7 + -2m) [-4 + -1m] + -1(-1m + -5) + -2(3m + -7) = -1(-7 + -2m) Reorder the terms: -4 + -1m + -1(-5 + -1m) + -2(3m + -7) = -1(-7 + -2m) -4 + -1m + (-5 * -1 + -1m * -1) + -2(3m + -7) = -1(-7 + -2m) -4 + -1m + (5 + 1m) + -2(3m + -7) = -1(-7 + -2m) Reorder the terms: -4 + -1m + 5 + 1m + -2(-7 + 3m) = -1(-7 + -2m) -4 + -1m + 5 + 1m + (-7 * -2 + 3m * -2) = -1(-7 + -2m) -4 + -1m + 5 + 1m + (14 + -6m) = -1(-7 + -2m) Reorder the terms: -4 + 5 + 14 + -1m + 1m + -6m = -1(-7 + -2m) Combine like terms: -4 + 5 = 1 1 + 14 + -1m + 1m + -6m = -1(-7 + -2m) Combine like terms: 1 + 14 = 15 15 + -1m + 1m + -6m = -1(-7 + -2m) Combine like terms: -1m + 1m = 0 15 + 0 + -6m = -1(-7 + -2m) 15 + -6m = -1(-7 + -2m) 15 + -6m = (-7 * -1 + -2m * -1) 15 + -6m = (7 + 2m) Solving 15 + -6m = 7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 15 + -6m + -2m = 7 + 2m + -2m Combine like terms: -6m + -2m = -8m 15 + -8m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -8m = 7 + 0 15 + -8m = 7 Add '-15' to each side of the equation. 15 + -15 + -8m = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -8m = 7 + -15 -8m = 7 + -15 Combine like terms: 7 + -15 = -8 -8m = -8 Divide each side by '-8'. m = 1 Simplifying m = 1
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