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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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