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Simplifying 4(m + 1) + -2(3m + 1) = -3(m + -7) + 5 Reorder the terms: 4(1 + m) + -2(3m + 1) = -3(m + -7) + 5 (1 * 4 + m * 4) + -2(3m + 1) = -3(m + -7) + 5 (4 + 4m) + -2(3m + 1) = -3(m + -7) + 5 Reorder the terms: 4 + 4m + -2(1 + 3m) = -3(m + -7) + 5 4 + 4m + (1 * -2 + 3m * -2) = -3(m + -7) + 5 4 + 4m + (-2 + -6m) = -3(m + -7) + 5 Reorder the terms: 4 + -2 + 4m + -6m = -3(m + -7) + 5 Combine like terms: 4 + -2 = 2 2 + 4m + -6m = -3(m + -7) + 5 Combine like terms: 4m + -6m = -2m 2 + -2m = -3(m + -7) + 5 Reorder the terms: 2 + -2m = -3(-7 + m) + 5 2 + -2m = (-7 * -3 + m * -3) + 5 2 + -2m = (21 + -3m) + 5 Reorder the terms: 2 + -2m = 21 + 5 + -3m Combine like terms: 21 + 5 = 26 2 + -2m = 26 + -3m Solving 2 + -2m = 26 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 2 + -2m + 3m = 26 + -3m + 3m Combine like terms: -2m + 3m = 1m 2 + 1m = 26 + -3m + 3m Combine like terms: -3m + 3m = 0 2 + 1m = 26 + 0 2 + 1m = 26 Add '-2' to each side of the equation. 2 + -2 + 1m = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = 26 + -2 1m = 26 + -2 Combine like terms: 26 + -2 = 24 1m = 24 Divide each side by '1'. m = 24 Simplifying m = 24
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