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Simplifying 9(9 + 8m) + -7m = 7(10m + -2) (9 * 9 + 8m * 9) + -7m = 7(10m + -2) (81 + 72m) + -7m = 7(10m + -2) Combine like terms: 72m + -7m = 65m 81 + 65m = 7(10m + -2) Reorder the terms: 81 + 65m = 7(-2 + 10m) 81 + 65m = (-2 * 7 + 10m * 7) 81 + 65m = (-14 + 70m) Solving 81 + 65m = -14 + 70m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-70m' to each side of the equation. 81 + 65m + -70m = -14 + 70m + -70m Combine like terms: 65m + -70m = -5m 81 + -5m = -14 + 70m + -70m Combine like terms: 70m + -70m = 0 81 + -5m = -14 + 0 81 + -5m = -14 Add '-81' to each side of the equation. 81 + -81 + -5m = -14 + -81 Combine like terms: 81 + -81 = 0 0 + -5m = -14 + -81 -5m = -14 + -81 Combine like terms: -14 + -81 = -95 -5m = -95 Divide each side by '-5'. m = 19 Simplifying m = 19
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