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Simplifying -2(m + -1) + 6(-6m + -5) = -39(m + 1) + -9 Reorder the terms: -2(-1 + m) + 6(-6m + -5) = -39(m + 1) + -9 (-1 * -2 + m * -2) + 6(-6m + -5) = -39(m + 1) + -9 (2 + -2m) + 6(-6m + -5) = -39(m + 1) + -9 Reorder the terms: 2 + -2m + 6(-5 + -6m) = -39(m + 1) + -9 2 + -2m + (-5 * 6 + -6m * 6) = -39(m + 1) + -9 2 + -2m + (-30 + -36m) = -39(m + 1) + -9 Reorder the terms: 2 + -30 + -2m + -36m = -39(m + 1) + -9 Combine like terms: 2 + -30 = -28 -28 + -2m + -36m = -39(m + 1) + -9 Combine like terms: -2m + -36m = -38m -28 + -38m = -39(m + 1) + -9 Reorder the terms: -28 + -38m = -39(1 + m) + -9 -28 + -38m = (1 * -39 + m * -39) + -9 -28 + -38m = (-39 + -39m) + -9 Reorder the terms: -28 + -38m = -39 + -9 + -39m Combine like terms: -39 + -9 = -48 -28 + -38m = -48 + -39m Solving -28 + -38m = -48 + -39m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '39m' to each side of the equation. -28 + -38m + 39m = -48 + -39m + 39m Combine like terms: -38m + 39m = 1m -28 + 1m = -48 + -39m + 39m Combine like terms: -39m + 39m = 0 -28 + 1m = -48 + 0 -28 + 1m = -48 Add '28' to each side of the equation. -28 + 28 + 1m = -48 + 28 Combine like terms: -28 + 28 = 0 0 + 1m = -48 + 28 1m = -48 + 28 Combine like terms: -48 + 28 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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