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Simplifying 6(m + -3) = 4(m + 3) Reorder the terms: 6(-3 + m) = 4(m + 3) (-3 * 6 + m * 6) = 4(m + 3) (-18 + 6m) = 4(m + 3) Reorder the terms: -18 + 6m = 4(3 + m) -18 + 6m = (3 * 4 + m * 4) -18 + 6m = (12 + 4m) Solving -18 + 6m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -18 + 6m + -4m = 12 + 4m + -4m Combine like terms: 6m + -4m = 2m -18 + 2m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -18 + 2m = 12 + 0 -18 + 2m = 12 Add '18' to each side of the equation. -18 + 18 + 2m = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2m = 12 + 18 2m = 12 + 18 Combine like terms: 12 + 18 = 30 2m = 30 Divide each side by '2'. m = 15 Simplifying m = 15
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