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Simplifying 4(m + 6) + -3(2m + 1) = 2(4m + 7) + 17 Reorder the terms: 4(6 + m) + -3(2m + 1) = 2(4m + 7) + 17 (6 * 4 + m * 4) + -3(2m + 1) = 2(4m + 7) + 17 (24 + 4m) + -3(2m + 1) = 2(4m + 7) + 17 Reorder the terms: 24 + 4m + -3(1 + 2m) = 2(4m + 7) + 17 24 + 4m + (1 * -3 + 2m * -3) = 2(4m + 7) + 17 24 + 4m + (-3 + -6m) = 2(4m + 7) + 17 Reorder the terms: 24 + -3 + 4m + -6m = 2(4m + 7) + 17 Combine like terms: 24 + -3 = 21 21 + 4m + -6m = 2(4m + 7) + 17 Combine like terms: 4m + -6m = -2m 21 + -2m = 2(4m + 7) + 17 Reorder the terms: 21 + -2m = 2(7 + 4m) + 17 21 + -2m = (7 * 2 + 4m * 2) + 17 21 + -2m = (14 + 8m) + 17 Reorder the terms: 21 + -2m = 14 + 17 + 8m Combine like terms: 14 + 17 = 31 21 + -2m = 31 + 8m Solving 21 + -2m = 31 + 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. 21 + -2m + -8m = 31 + 8m + -8m Combine like terms: -2m + -8m = -10m 21 + -10m = 31 + 8m + -8m Combine like terms: 8m + -8m = 0 21 + -10m = 31 + 0 21 + -10m = 31 Add '-21' to each side of the equation. 21 + -21 + -10m = 31 + -21 Combine like terms: 21 + -21 = 0 0 + -10m = 31 + -21 -10m = 31 + -21 Combine like terms: 31 + -21 = 10 -10m = 10 Divide each side by '-10'. m = -1 Simplifying m = -1
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