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Simplifying -2m + 23 = -7 + 4(1 + 6m) Reorder the terms: 23 + -2m = -7 + 4(1 + 6m) 23 + -2m = -7 + (1 * 4 + 6m * 4) 23 + -2m = -7 + (4 + 24m) Combine like terms: -7 + 4 = -3 23 + -2m = -3 + 24m Solving 23 + -2m = -3 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 23 + -2m + -24m = -3 + 24m + -24m Combine like terms: -2m + -24m = -26m 23 + -26m = -3 + 24m + -24m Combine like terms: 24m + -24m = 0 23 + -26m = -3 + 0 23 + -26m = -3 Add '-23' to each side of the equation. 23 + -23 + -26m = -3 + -23 Combine like terms: 23 + -23 = 0 0 + -26m = -3 + -23 -26m = -3 + -23 Combine like terms: -3 + -23 = -26 -26m = -26 Divide each side by '-26'. m = 1 Simplifying m = 1
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