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Simplifying 44 + 6(1 + 3m) = 8(2m + 5) + -4 + 2(3m + -7) 44 + (1 * 6 + 3m * 6) = 8(2m + 5) + -4 + 2(3m + -7) 44 + (6 + 18m) = 8(2m + 5) + -4 + 2(3m + -7) Combine like terms: 44 + 6 = 50 50 + 18m = 8(2m + 5) + -4 + 2(3m + -7) Reorder the terms: 50 + 18m = 8(5 + 2m) + -4 + 2(3m + -7) 50 + 18m = (5 * 8 + 2m * 8) + -4 + 2(3m + -7) 50 + 18m = (40 + 16m) + -4 + 2(3m + -7) Reorder the terms: 50 + 18m = 40 + 16m + -4 + 2(-7 + 3m) 50 + 18m = 40 + 16m + -4 + (-7 * 2 + 3m * 2) 50 + 18m = 40 + 16m + -4 + (-14 + 6m) Reorder the terms: 50 + 18m = 40 + -4 + -14 + 16m + 6m Combine like terms: 40 + -4 = 36 50 + 18m = 36 + -14 + 16m + 6m Combine like terms: 36 + -14 = 22 50 + 18m = 22 + 16m + 6m Combine like terms: 16m + 6m = 22m 50 + 18m = 22 + 22m Solving 50 + 18m = 22 + 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. 50 + 18m + -22m = 22 + 22m + -22m Combine like terms: 18m + -22m = -4m 50 + -4m = 22 + 22m + -22m Combine like terms: 22m + -22m = 0 50 + -4m = 22 + 0 50 + -4m = 22 Add '-50' to each side of the equation. 50 + -50 + -4m = 22 + -50 Combine like terms: 50 + -50 = 0 0 + -4m = 22 + -50 -4m = 22 + -50 Combine like terms: 22 + -50 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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