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Simplifying 107 = 3(7m) + -2(3m + -1) Remove parenthesis around (7m) 107 = 3 * 7m + -2(3m + -1) Multiply 3 * 7 107 = 21m + -2(3m + -1) Reorder the terms: 107 = 21m + -2(-1 + 3m) 107 = 21m + (-1 * -2 + 3m * -2) 107 = 21m + (2 + -6m) Reorder the terms: 107 = 2 + 21m + -6m Combine like terms: 21m + -6m = 15m 107 = 2 + 15m Solving 107 = 2 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 107 + -15m = 2 + 15m + -15m Combine like terms: 15m + -15m = 0 107 + -15m = 2 + 0 107 + -15m = 2 Add '-107' to each side of the equation. 107 + -107 + -15m = 2 + -107 Combine like terms: 107 + -107 = 0 0 + -15m = 2 + -107 -15m = 2 + -107 Combine like terms: 2 + -107 = -105 -15m = -105 Divide each side by '-15'. m = 7 Simplifying m = 7
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