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Simplifying 109 = -3(1 + -3m) + 7m 109 = (1 * -3 + -3m * -3) + 7m 109 = (-3 + 9m) + 7m Combine like terms: 9m + 7m = 16m 109 = -3 + 16m Solving 109 = -3 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 109 + -16m = -3 + 16m + -16m Combine like terms: 16m + -16m = 0 109 + -16m = -3 + 0 109 + -16m = -3 Add '-109' to each side of the equation. 109 + -109 + -16m = -3 + -109 Combine like terms: 109 + -109 = 0 0 + -16m = -3 + -109 -16m = -3 + -109 Combine like terms: -3 + -109 = -112 -16m = -112 Divide each side by '-16'. m = 7 Simplifying m = 7
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