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Simplifying 8(m + 6) = 15m + -8 Reorder the terms: 8(6 + m) = 15m + -8 (6 * 8 + m * 8) = 15m + -8 (48 + 8m) = 15m + -8 Reorder the terms: 48 + 8m = -8 + 15m Solving 48 + 8m = -8 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 48 + 8m + -15m = -8 + 15m + -15m Combine like terms: 8m + -15m = -7m 48 + -7m = -8 + 15m + -15m Combine like terms: 15m + -15m = 0 48 + -7m = -8 + 0 48 + -7m = -8 Add '-48' to each side of the equation. 48 + -48 + -7m = -8 + -48 Combine like terms: 48 + -48 = 0 0 + -7m = -8 + -48 -7m = -8 + -48 Combine like terms: -8 + -48 = -56 -7m = -56 Divide each side by '-7'. m = 8 Simplifying m = 8
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