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Simplifying -101 = 3(3m + 1) + 4m Reorder the terms: -101 = 3(1 + 3m) + 4m -101 = (1 * 3 + 3m * 3) + 4m -101 = (3 + 9m) + 4m Combine like terms: 9m + 4m = 13m -101 = 3 + 13m Solving -101 = 3 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -101 + -13m = 3 + 13m + -13m Combine like terms: 13m + -13m = 0 -101 + -13m = 3 + 0 -101 + -13m = 3 Add '101' to each side of the equation. -101 + 101 + -13m = 3 + 101 Combine like terms: -101 + 101 = 0 0 + -13m = 3 + 101 -13m = 3 + 101 Combine like terms: 3 + 101 = 104 -13m = 104 Divide each side by '-13'. m = -8 Simplifying m = -8
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