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Simplifying m + -1(12 + 3m) = 8m + -1(21 + 7m) m + (12 * -1 + 3m * -1) = 8m + -1(21 + 7m) m + (-12 + -3m) = 8m + -1(21 + 7m) Reorder the terms: -12 + m + -3m = 8m + -1(21 + 7m) Combine like terms: m + -3m = -2m -12 + -2m = 8m + -1(21 + 7m) -12 + -2m = 8m + (21 * -1 + 7m * -1) -12 + -2m = 8m + (-21 + -7m) Reorder the terms: -12 + -2m = -21 + 8m + -7m Combine like terms: 8m + -7m = 1m -12 + -2m = -21 + 1m Solving -12 + -2m = -21 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -12 + -2m + -1m = -21 + 1m + -1m Combine like terms: -2m + -1m = -3m -12 + -3m = -21 + 1m + -1m Combine like terms: 1m + -1m = 0 -12 + -3m = -21 + 0 -12 + -3m = -21 Add '12' to each side of the equation. -12 + 12 + -3m = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -3m = -21 + 12 -3m = -21 + 12 Combine like terms: -21 + 12 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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