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Simplifying (7m + 69) + -6 = 8m + -3 + 5m Reorder the terms: (69 + 7m) + -6 = 8m + -3 + 5m Remove parenthesis around (69 + 7m) 69 + 7m + -6 = 8m + -3 + 5m Reorder the terms: 69 + -6 + 7m = 8m + -3 + 5m Combine like terms: 69 + -6 = 63 63 + 7m = 8m + -3 + 5m Reorder the terms: 63 + 7m = -3 + 8m + 5m Combine like terms: 8m + 5m = 13m 63 + 7m = -3 + 13m Solving 63 + 7m = -3 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 63 + 7m + -13m = -3 + 13m + -13m Combine like terms: 7m + -13m = -6m 63 + -6m = -3 + 13m + -13m Combine like terms: 13m + -13m = 0 63 + -6m = -3 + 0 63 + -6m = -3 Add '-63' to each side of the equation. 63 + -63 + -6m = -3 + -63 Combine like terms: 63 + -63 = 0 0 + -6m = -3 + -63 -6m = -3 + -63 Combine like terms: -3 + -63 = -66 -6m = -66 Divide each side by '-6'. m = 11 Simplifying m = 11
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