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Simplifying -2(m + 6) = 3m + 23 Reorder the terms: -2(6 + m) = 3m + 23 (6 * -2 + m * -2) = 3m + 23 (-12 + -2m) = 3m + 23 Reorder the terms: -12 + -2m = 23 + 3m Solving -12 + -2m = 23 + 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 + -2m + -3m = 23 + 3m + -3m Combine like terms: -2m + -3m = -5m -12 + -5m = 23 + 3m + -3m Combine like terms: 3m + -3m = 0 -12 + -5m = 23 + 0 -12 + -5m = 23 Add '12' to each side of the equation. -12 + 12 + -5m = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -5m = 23 + 12 -5m = 23 + 12 Combine like terms: 23 + 12 = 35 -5m = 35 Divide each side by '-5'. m = -7 Simplifying m = -7
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