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Simplifying 3m + -1(7m + 12) = 2(m + 3) Reorder the terms: 3m + -1(12 + 7m) = 2(m + 3) 3m + (12 * -1 + 7m * -1) = 2(m + 3) 3m + (-12 + -7m) = 2(m + 3) Reorder the terms: -12 + 3m + -7m = 2(m + 3) Combine like terms: 3m + -7m = -4m -12 + -4m = 2(m + 3) Reorder the terms: -12 + -4m = 2(3 + m) -12 + -4m = (3 * 2 + m * 2) -12 + -4m = (6 + 2m) Solving -12 + -4m = 6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -12 + -4m + -2m = 6 + 2m + -2m Combine like terms: -4m + -2m = -6m -12 + -6m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + -6m = 6 + 0 -12 + -6m = 6 Add '12' to each side of the equation. -12 + 12 + -6m = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -6m = 6 + 12 -6m = 6 + 12 Combine like terms: 6 + 12 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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