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Simplifying 4(2m + 6) = m + 3(3m + 9) Reorder the terms: 4(6 + 2m) = m + 3(3m + 9) (6 * 4 + 2m * 4) = m + 3(3m + 9) (24 + 8m) = m + 3(3m + 9) Reorder the terms: 24 + 8m = m + 3(9 + 3m) 24 + 8m = m + (9 * 3 + 3m * 3) 24 + 8m = m + (27 + 9m) Reorder the terms: 24 + 8m = 27 + m + 9m Combine like terms: m + 9m = 10m 24 + 8m = 27 + 10m Solving 24 + 8m = 27 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 24 + 8m + -10m = 27 + 10m + -10m Combine like terms: 8m + -10m = -2m 24 + -2m = 27 + 10m + -10m Combine like terms: 10m + -10m = 0 24 + -2m = 27 + 0 24 + -2m = 27 Add '-24' to each side of the equation. 24 + -24 + -2m = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -2m = 27 + -24 -2m = 27 + -24 Combine like terms: 27 + -24 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5
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