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Simplifying 7(m + 9) = -12 + 9m Reorder the terms: 7(9 + m) = -12 + 9m (9 * 7 + m * 7) = -12 + 9m (63 + 7m) = -12 + 9m Solving 63 + 7m = -12 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 63 + 7m + -9m = -12 + 9m + -9m Combine like terms: 7m + -9m = -2m 63 + -2m = -12 + 9m + -9m Combine like terms: 9m + -9m = 0 63 + -2m = -12 + 0 63 + -2m = -12 Add '-63' to each side of the equation. 63 + -63 + -2m = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -2m = -12 + -63 -2m = -12 + -63 Combine like terms: -12 + -63 = -75 -2m = -75 Divide each side by '-2'. m = 37.5 Simplifying m = 37.5
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