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Simplifying -62 = -6(1 + -6m) + -5(m + 5) -62 = (1 * -6 + -6m * -6) + -5(m + 5) -62 = (-6 + 36m) + -5(m + 5) Reorder the terms: -62 = -6 + 36m + -5(5 + m) -62 = -6 + 36m + (5 * -5 + m * -5) -62 = -6 + 36m + (-25 + -5m) Reorder the terms: -62 = -6 + -25 + 36m + -5m Combine like terms: -6 + -25 = -31 -62 = -31 + 36m + -5m Combine like terms: 36m + -5m = 31m -62 = -31 + 31m Solving -62 = -31 + 31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31m' to each side of the equation. -62 + -31m = -31 + 31m + -31m Combine like terms: 31m + -31m = 0 -62 + -31m = -31 + 0 -62 + -31m = -31 Add '62' to each side of the equation. -62 + 62 + -31m = -31 + 62 Combine like terms: -62 + 62 = 0 0 + -31m = -31 + 62 -31m = -31 + 62 Combine like terms: -31 + 62 = 31 -31m = 31 Divide each side by '-31'. m = -1 Simplifying m = -1
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