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Simplifying 5(2m + -1) = 4(2m + 1) + 7 Reorder the terms: 5(-1 + 2m) = 4(2m + 1) + 7 (-1 * 5 + 2m * 5) = 4(2m + 1) + 7 (-5 + 10m) = 4(2m + 1) + 7 Reorder the terms: -5 + 10m = 4(1 + 2m) + 7 -5 + 10m = (1 * 4 + 2m * 4) + 7 -5 + 10m = (4 + 8m) + 7 Reorder the terms: -5 + 10m = 4 + 7 + 8m Combine like terms: 4 + 7 = 11 -5 + 10m = 11 + 8m Solving -5 + 10m = 11 + 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. -5 + 10m + -8m = 11 + 8m + -8m Combine like terms: 10m + -8m = 2m -5 + 2m = 11 + 8m + -8m Combine like terms: 8m + -8m = 0 -5 + 2m = 11 + 0 -5 + 2m = 11 Add '5' to each side of the equation. -5 + 5 + 2m = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 11 + 5 2m = 11 + 5 Combine like terms: 11 + 5 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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