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Simplifying 4m + -13 = 6 + -3(1 + -4m) Reorder the terms: -13 + 4m = 6 + -3(1 + -4m) -13 + 4m = 6 + (1 * -3 + -4m * -3) -13 + 4m = 6 + (-3 + 12m) Combine like terms: 6 + -3 = 3 -13 + 4m = 3 + 12m Solving -13 + 4m = 3 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -13 + 4m + -12m = 3 + 12m + -12m Combine like terms: 4m + -12m = -8m -13 + -8m = 3 + 12m + -12m Combine like terms: 12m + -12m = 0 -13 + -8m = 3 + 0 -13 + -8m = 3 Add '13' to each side of the equation. -13 + 13 + -8m = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -8m = 3 + 13 -8m = 3 + 13 Combine like terms: 3 + 13 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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