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Simplifying -3(m + -6) + -6 = 3m + 30 Reorder the terms: -3(-6 + m) + -6 = 3m + 30 (-6 * -3 + m * -3) + -6 = 3m + 30 (18 + -3m) + -6 = 3m + 30 Reorder the terms: 18 + -6 + -3m = 3m + 30 Combine like terms: 18 + -6 = 12 12 + -3m = 3m + 30 Reorder the terms: 12 + -3m = 30 + 3m Solving 12 + -3m = 30 + 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. 12 + -3m + -3m = 30 + 3m + -3m Combine like terms: -3m + -3m = -6m 12 + -6m = 30 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -6m = 30 + 0 12 + -6m = 30 Add '-12' to each side of the equation. 12 + -12 + -6m = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = 30 + -12 -6m = 30 + -12 Combine like terms: 30 + -12 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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