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Simplifying 4(m + 3) + 2(m + -3) = 3(m + -2) Reorder the terms: 4(3 + m) + 2(m + -3) = 3(m + -2) (3 * 4 + m * 4) + 2(m + -3) = 3(m + -2) (12 + 4m) + 2(m + -3) = 3(m + -2) Reorder the terms: 12 + 4m + 2(-3 + m) = 3(m + -2) 12 + 4m + (-3 * 2 + m * 2) = 3(m + -2) 12 + 4m + (-6 + 2m) = 3(m + -2) Reorder the terms: 12 + -6 + 4m + 2m = 3(m + -2) Combine like terms: 12 + -6 = 6 6 + 4m + 2m = 3(m + -2) Combine like terms: 4m + 2m = 6m 6 + 6m = 3(m + -2) Reorder the terms: 6 + 6m = 3(-2 + m) 6 + 6m = (-2 * 3 + m * 3) 6 + 6m = (-6 + 3m) Solving 6 + 6m = -6 + 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. 6 + 6m + -3m = -6 + 3m + -3m Combine like terms: 6m + -3m = 3m 6 + 3m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 3m = -6 + 0 6 + 3m = -6 Add '-6' to each side of the equation. 6 + -6 + 3m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 3m = -6 + -6 3m = -6 + -6 Combine like terms: -6 + -6 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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