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Simplifying 4(m + 3) = -6(m + 3) Reorder the terms: 4(3 + m) = -6(m + 3) (3 * 4 + m * 4) = -6(m + 3) (12 + 4m) = -6(m + 3) Reorder the terms: 12 + 4m = -6(3 + m) 12 + 4m = (3 * -6 + m * -6) 12 + 4m = (-18 + -6m) Solving 12 + 4m = -18 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 12 + 4m + 6m = -18 + -6m + 6m Combine like terms: 4m + 6m = 10m 12 + 10m = -18 + -6m + 6m Combine like terms: -6m + 6m = 0 12 + 10m = -18 + 0 12 + 10m = -18 Add '-12' to each side of the equation. 12 + -12 + 10m = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 10m = -18 + -12 10m = -18 + -12 Combine like terms: -18 + -12 = -30 10m = -30 Divide each side by '10'. m = -3 Simplifying m = -3
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