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Simplifying 4(m + 6) = 8m + -10 Reorder the terms: 4(6 + m) = 8m + -10 (6 * 4 + m * 4) = 8m + -10 (24 + 4m) = 8m + -10 Reorder the terms: 24 + 4m = -10 + 8m Solving 24 + 4m = -10 + 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. 24 + 4m + -8m = -10 + 8m + -8m Combine like terms: 4m + -8m = -4m 24 + -4m = -10 + 8m + -8m Combine like terms: 8m + -8m = 0 24 + -4m = -10 + 0 24 + -4m = -10 Add '-24' to each side of the equation. 24 + -24 + -4m = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -4m = -10 + -24 -4m = -10 + -24 Combine like terms: -10 + -24 = -34 -4m = -34 Divide each side by '-4'. m = 8.5 Simplifying m = 8.5
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