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Simplifying 13(m + -2) = -4(11 + m) + 1 Reorder the terms: 13(-2 + m) = -4(11 + m) + 1 (-2 * 13 + m * 13) = -4(11 + m) + 1 (-26 + 13m) = -4(11 + m) + 1 -26 + 13m = (11 * -4 + m * -4) + 1 -26 + 13m = (-44 + -4m) + 1 Reorder the terms: -26 + 13m = -44 + 1 + -4m Combine like terms: -44 + 1 = -43 -26 + 13m = -43 + -4m Solving -26 + 13m = -43 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -26 + 13m + 4m = -43 + -4m + 4m Combine like terms: 13m + 4m = 17m -26 + 17m = -43 + -4m + 4m Combine like terms: -4m + 4m = 0 -26 + 17m = -43 + 0 -26 + 17m = -43 Add '26' to each side of the equation. -26 + 26 + 17m = -43 + 26 Combine like terms: -26 + 26 = 0 0 + 17m = -43 + 26 17m = -43 + 26 Combine like terms: -43 + 26 = -17 17m = -17 Divide each side by '17'. m = -1 Simplifying m = -1
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