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Simplifying -7m + 60 + -7(m + -1) = 8m + -1(2m + -4) + -6m + 7 Reorder the terms: -7m + 60 + -7(-1 + m) = 8m + -1(2m + -4) + -6m + 7 -7m + 60 + (-1 * -7 + m * -7) = 8m + -1(2m + -4) + -6m + 7 -7m + 60 + (7 + -7m) = 8m + -1(2m + -4) + -6m + 7 Reorder the terms: 60 + 7 + -7m + -7m = 8m + -1(2m + -4) + -6m + 7 Combine like terms: 60 + 7 = 67 67 + -7m + -7m = 8m + -1(2m + -4) + -6m + 7 Combine like terms: -7m + -7m = -14m 67 + -14m = 8m + -1(2m + -4) + -6m + 7 Reorder the terms: 67 + -14m = 8m + -1(-4 + 2m) + -6m + 7 67 + -14m = 8m + (-4 * -1 + 2m * -1) + -6m + 7 67 + -14m = 8m + (4 + -2m) + -6m + 7 Reorder the terms: 67 + -14m = 4 + 7 + 8m + -2m + -6m Combine like terms: 4 + 7 = 11 67 + -14m = 11 + 8m + -2m + -6m Combine like terms: 8m + -2m = 6m 67 + -14m = 11 + 6m + -6m Combine like terms: 6m + -6m = 0 67 + -14m = 11 + 0 67 + -14m = 11 Solving 67 + -14m = 11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -14m = 11 + -67 Combine like terms: 67 + -67 = 0 0 + -14m = 11 + -67 -14m = 11 + -67 Combine like terms: 11 + -67 = -56 -14m = -56 Divide each side by '-14'. m = 4 Simplifying m = 4
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