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Simplifying -6(5 + m) = -3(m + -5) + -3 (5 * -6 + m * -6) = -3(m + -5) + -3 (-30 + -6m) = -3(m + -5) + -3 Reorder the terms: -30 + -6m = -3(-5 + m) + -3 -30 + -6m = (-5 * -3 + m * -3) + -3 -30 + -6m = (15 + -3m) + -3 Reorder the terms: -30 + -6m = 15 + -3 + -3m Combine like terms: 15 + -3 = 12 -30 + -6m = 12 + -3m Solving -30 + -6m = 12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -30 + -6m + 3m = 12 + -3m + 3m Combine like terms: -6m + 3m = -3m -30 + -3m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 -30 + -3m = 12 + 0 -30 + -3m = 12 Add '30' to each side of the equation. -30 + 30 + -3m = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -3m = 12 + 30 -3m = 12 + 30 Combine like terms: 12 + 30 = 42 -3m = 42 Divide each side by '-3'. m = -14 Simplifying m = -14
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