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Simplifying 8(m + 6) = 40 + 4m Reorder the terms: 8(6 + m) = 40 + 4m (6 * 8 + m * 8) = 40 + 4m (48 + 8m) = 40 + 4m Solving 48 + 8m = 40 + 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. 48 + 8m + -4m = 40 + 4m + -4m Combine like terms: 8m + -4m = 4m 48 + 4m = 40 + 4m + -4m Combine like terms: 4m + -4m = 0 48 + 4m = 40 + 0 48 + 4m = 40 Add '-48' to each side of the equation. 48 + -48 + 4m = 40 + -48 Combine like terms: 48 + -48 = 0 0 + 4m = 40 + -48 4m = 40 + -48 Combine like terms: 40 + -48 = -8 4m = -8 Divide each side by '4'. m = -2 Simplifying m = -2
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