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Simplifying -5(m + 2) + 5(8m + -2) = 34(m + -1) + -5 Reorder the terms: -5(2 + m) + 5(8m + -2) = 34(m + -1) + -5 (2 * -5 + m * -5) + 5(8m + -2) = 34(m + -1) + -5 (-10 + -5m) + 5(8m + -2) = 34(m + -1) + -5 Reorder the terms: -10 + -5m + 5(-2 + 8m) = 34(m + -1) + -5 -10 + -5m + (-2 * 5 + 8m * 5) = 34(m + -1) + -5 -10 + -5m + (-10 + 40m) = 34(m + -1) + -5 Reorder the terms: -10 + -10 + -5m + 40m = 34(m + -1) + -5 Combine like terms: -10 + -10 = -20 -20 + -5m + 40m = 34(m + -1) + -5 Combine like terms: -5m + 40m = 35m -20 + 35m = 34(m + -1) + -5 Reorder the terms: -20 + 35m = 34(-1 + m) + -5 -20 + 35m = (-1 * 34 + m * 34) + -5 -20 + 35m = (-34 + 34m) + -5 Reorder the terms: -20 + 35m = -34 + -5 + 34m Combine like terms: -34 + -5 = -39 -20 + 35m = -39 + 34m Solving -20 + 35m = -39 + 34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-34m' to each side of the equation. -20 + 35m + -34m = -39 + 34m + -34m Combine like terms: 35m + -34m = 1m -20 + 1m = -39 + 34m + -34m Combine like terms: 34m + -34m = 0 -20 + 1m = -39 + 0 -20 + 1m = -39 Add '20' to each side of the equation. -20 + 20 + 1m = -39 + 20 Combine like terms: -20 + 20 = 0 0 + 1m = -39 + 20 1m = -39 + 20 Combine like terms: -39 + 20 = -19 1m = -19 Divide each side by '1'. m = -19 Simplifying m = -19
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