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Simplifying -5(m + 7) + -5(6m + -2) = -36(m + 1) + 8 Reorder the terms: -5(7 + m) + -5(6m + -2) = -36(m + 1) + 8 (7 * -5 + m * -5) + -5(6m + -2) = -36(m + 1) + 8 (-35 + -5m) + -5(6m + -2) = -36(m + 1) + 8 Reorder the terms: -35 + -5m + -5(-2 + 6m) = -36(m + 1) + 8 -35 + -5m + (-2 * -5 + 6m * -5) = -36(m + 1) + 8 -35 + -5m + (10 + -30m) = -36(m + 1) + 8 Reorder the terms: -35 + 10 + -5m + -30m = -36(m + 1) + 8 Combine like terms: -35 + 10 = -25 -25 + -5m + -30m = -36(m + 1) + 8 Combine like terms: -5m + -30m = -35m -25 + -35m = -36(m + 1) + 8 Reorder the terms: -25 + -35m = -36(1 + m) + 8 -25 + -35m = (1 * -36 + m * -36) + 8 -25 + -35m = (-36 + -36m) + 8 Reorder the terms: -25 + -35m = -36 + 8 + -36m Combine like terms: -36 + 8 = -28 -25 + -35m = -28 + -36m Solving -25 + -35m = -28 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. -25 + -35m + 36m = -28 + -36m + 36m Combine like terms: -35m + 36m = 1m -25 + 1m = -28 + -36m + 36m Combine like terms: -36m + 36m = 0 -25 + 1m = -28 + 0 -25 + 1m = -28 Add '25' to each side of the equation. -25 + 25 + 1m = -28 + 25 Combine like terms: -25 + 25 = 0 0 + 1m = -28 + 25 1m = -28 + 25 Combine like terms: -28 + 25 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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