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Simplifying 44 = -7(1 + -7m) + -2(8 + -9m) 44 = (1 * -7 + -7m * -7) + -2(8 + -9m) 44 = (-7 + 49m) + -2(8 + -9m) 44 = -7 + 49m + (8 * -2 + -9m * -2) 44 = -7 + 49m + (-16 + 18m) Reorder the terms: 44 = -7 + -16 + 49m + 18m Combine like terms: -7 + -16 = -23 44 = -23 + 49m + 18m Combine like terms: 49m + 18m = 67m 44 = -23 + 67m Solving 44 = -23 + 67m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-67m' to each side of the equation. 44 + -67m = -23 + 67m + -67m Combine like terms: 67m + -67m = 0 44 + -67m = -23 + 0 44 + -67m = -23 Add '-44' to each side of the equation. 44 + -44 + -67m = -23 + -44 Combine like terms: 44 + -44 = 0 0 + -67m = -23 + -44 -67m = -23 + -44 Combine like terms: -23 + -44 = -67 -67m = -67 Divide each side by '-67'. m = 1 Simplifying m = 1
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