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