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Simplifying 12 = 8(m + -3) + -3(-1 + -1m) Reorder the terms: 12 = 8(-3 + m) + -3(-1 + -1m) 12 = (-3 * 8 + m * 8) + -3(-1 + -1m) 12 = (-24 + 8m) + -3(-1 + -1m) 12 = -24 + 8m + (-1 * -3 + -1m * -3) 12 = -24 + 8m + (3 + 3m) Reorder the terms: 12 = -24 + 3 + 8m + 3m Combine like terms: -24 + 3 = -21 12 = -21 + 8m + 3m Combine like terms: 8m + 3m = 11m 12 = -21 + 11m Solving 12 = -21 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 12 + -11m = -21 + 11m + -11m Combine like terms: 11m + -11m = 0 12 + -11m = -21 + 0 12 + -11m = -21 Add '-12' to each side of the equation. 12 + -12 + -11m = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -11m = -21 + -12 -11m = -21 + -12 Combine like terms: -21 + -12 = -33 -11m = -33 Divide each side by '-11'. m = 3 Simplifying m = 3
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