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Simplifying 8(1 + -2m) = 23 + -1m (1 * 8 + -2m * 8) = 23 + -1m (8 + -16m) = 23 + -1m Solving 8 + -16m = 23 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 8 + -16m + m = 23 + -1m + m Combine like terms: -16m + m = -15m 8 + -15m = 23 + -1m + m Combine like terms: -1m + m = 0 8 + -15m = 23 + 0 8 + -15m = 23 Add '-8' to each side of the equation. 8 + -8 + -15m = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -15m = 23 + -8 -15m = 23 + -8 Combine like terms: 23 + -8 = 15 -15m = 15 Divide each side by '-15'. m = -1 Simplifying m = -1
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