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Simplifying -8m + 65 + -6(m + -2) = 5m + -1(6m + -7) + -2m + 4 Reorder the terms: -8m + 65 + -6(-2 + m) = 5m + -1(6m + -7) + -2m + 4 -8m + 65 + (-2 * -6 + m * -6) = 5m + -1(6m + -7) + -2m + 4 -8m + 65 + (12 + -6m) = 5m + -1(6m + -7) + -2m + 4 Reorder the terms: 65 + 12 + -8m + -6m = 5m + -1(6m + -7) + -2m + 4 Combine like terms: 65 + 12 = 77 77 + -8m + -6m = 5m + -1(6m + -7) + -2m + 4 Combine like terms: -8m + -6m = -14m 77 + -14m = 5m + -1(6m + -7) + -2m + 4 Reorder the terms: 77 + -14m = 5m + -1(-7 + 6m) + -2m + 4 77 + -14m = 5m + (-7 * -1 + 6m * -1) + -2m + 4 77 + -14m = 5m + (7 + -6m) + -2m + 4 Reorder the terms: 77 + -14m = 7 + 4 + 5m + -6m + -2m Combine like terms: 7 + 4 = 11 77 + -14m = 11 + 5m + -6m + -2m Combine like terms: 5m + -6m = -1m 77 + -14m = 11 + -1m + -2m Combine like terms: -1m + -2m = -3m 77 + -14m = 11 + -3m Solving 77 + -14m = 11 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 77 + -14m + 3m = 11 + -3m + 3m Combine like terms: -14m + 3m = -11m 77 + -11m = 11 + -3m + 3m Combine like terms: -3m + 3m = 0 77 + -11m = 11 + 0 77 + -11m = 11 Add '-77' to each side of the equation. 77 + -77 + -11m = 11 + -77 Combine like terms: 77 + -77 = 0 0 + -11m = 11 + -77 -11m = 11 + -77 Combine like terms: 11 + -77 = -66 -11m = -66 Divide each side by '-11'. m = 6 Simplifying m = 6
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