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Simplifying 5(2m + 1) = 6(3m + -4) + 7 Reorder the terms: 5(1 + 2m) = 6(3m + -4) + 7 (1 * 5 + 2m * 5) = 6(3m + -4) + 7 (5 + 10m) = 6(3m + -4) + 7 Reorder the terms: 5 + 10m = 6(-4 + 3m) + 7 5 + 10m = (-4 * 6 + 3m * 6) + 7 5 + 10m = (-24 + 18m) + 7 Reorder the terms: 5 + 10m = -24 + 7 + 18m Combine like terms: -24 + 7 = -17 5 + 10m = -17 + 18m Solving 5 + 10m = -17 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 5 + 10m + -18m = -17 + 18m + -18m Combine like terms: 10m + -18m = -8m 5 + -8m = -17 + 18m + -18m Combine like terms: 18m + -18m = 0 5 + -8m = -17 + 0 5 + -8m = -17 Add '-5' to each side of the equation. 5 + -5 + -8m = -17 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = -17 + -5 -8m = -17 + -5 Combine like terms: -17 + -5 = -22 -8m = -22 Divide each side by '-8'. m = 2.75 Simplifying m = 2.75
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