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Simplifying 3(m + 1) + -6(5m + -6) = -28(m + -1) + -5 Reorder the terms: 3(1 + m) + -6(5m + -6) = -28(m + -1) + -5 (1 * 3 + m * 3) + -6(5m + -6) = -28(m + -1) + -5 (3 + 3m) + -6(5m + -6) = -28(m + -1) + -5 Reorder the terms: 3 + 3m + -6(-6 + 5m) = -28(m + -1) + -5 3 + 3m + (-6 * -6 + 5m * -6) = -28(m + -1) + -5 3 + 3m + (36 + -30m) = -28(m + -1) + -5 Reorder the terms: 3 + 36 + 3m + -30m = -28(m + -1) + -5 Combine like terms: 3 + 36 = 39 39 + 3m + -30m = -28(m + -1) + -5 Combine like terms: 3m + -30m = -27m 39 + -27m = -28(m + -1) + -5 Reorder the terms: 39 + -27m = -28(-1 + m) + -5 39 + -27m = (-1 * -28 + m * -28) + -5 39 + -27m = (28 + -28m) + -5 Reorder the terms: 39 + -27m = 28 + -5 + -28m Combine like terms: 28 + -5 = 23 39 + -27m = 23 + -28m Solving 39 + -27m = 23 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 39 + -27m + 28m = 23 + -28m + 28m Combine like terms: -27m + 28m = 1m 39 + 1m = 23 + -28m + 28m Combine like terms: -28m + 28m = 0 39 + 1m = 23 + 0 39 + 1m = 23 Add '-39' to each side of the equation. 39 + -39 + 1m = 23 + -39 Combine like terms: 39 + -39 = 0 0 + 1m = 23 + -39 1m = 23 + -39 Combine like terms: 23 + -39 = -16 1m = -16 Divide each side by '1'. m = -16 Simplifying m = -16
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