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Simplifying -1(4m + -6) + 5 = 23 + 8m Reorder the terms: -1(-6 + 4m) + 5 = 23 + 8m (-6 * -1 + 4m * -1) + 5 = 23 + 8m (6 + -4m) + 5 = 23 + 8m Reorder the terms: 6 + 5 + -4m = 23 + 8m Combine like terms: 6 + 5 = 11 11 + -4m = 23 + 8m Solving 11 + -4m = 23 + 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. 11 + -4m + -8m = 23 + 8m + -8m Combine like terms: -4m + -8m = -12m 11 + -12m = 23 + 8m + -8m Combine like terms: 8m + -8m = 0 11 + -12m = 23 + 0 11 + -12m = 23 Add '-11' to each side of the equation. 11 + -11 + -12m = 23 + -11 Combine like terms: 11 + -11 = 0 0 + -12m = 23 + -11 -12m = 23 + -11 Combine like terms: 23 + -11 = 12 -12m = 12 Divide each side by '-12'. m = -1 Simplifying m = -1
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