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Simplifying 3(2x + 10) = 6(x + 4) + -8m Reorder the terms: 3(10 + 2x) = 6(x + 4) + -8m (10 * 3 + 2x * 3) = 6(x + 4) + -8m (30 + 6x) = 6(x + 4) + -8m Reorder the terms: 30 + 6x = 6(4 + x) + -8m 30 + 6x = (4 * 6 + x * 6) + -8m 30 + 6x = (24 + 6x) + -8m Reorder the terms: 30 + 6x = 24 + -8m + 6x Add '-6x' to each side of the equation. 30 + 6x + -6x = 24 + -8m + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 0 = 24 + -8m + 6x + -6x 30 = 24 + -8m + 6x + -6x Combine like terms: 6x + -6x = 0 30 = 24 + -8m + 0 30 = 24 + -8m Solving 30 = 24 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 30 + 8m = 24 + -8m + 8m Combine like terms: -8m + 8m = 0 30 + 8m = 24 + 0 30 + 8m = 24 Add '-30' to each side of the equation. 30 + -30 + 8m = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 8m = 24 + -30 8m = 24 + -30 Combine like terms: 24 + -30 = -6 8m = -6 Divide each side by '8'. m = -0.75 Simplifying m = -0.75
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