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Simplifying -5(m + -8) + 6(-6m + -1) = -42(m + -1) + -9 Reorder the terms: -5(-8 + m) + 6(-6m + -1) = -42(m + -1) + -9 (-8 * -5 + m * -5) + 6(-6m + -1) = -42(m + -1) + -9 (40 + -5m) + 6(-6m + -1) = -42(m + -1) + -9 Reorder the terms: 40 + -5m + 6(-1 + -6m) = -42(m + -1) + -9 40 + -5m + (-1 * 6 + -6m * 6) = -42(m + -1) + -9 40 + -5m + (-6 + -36m) = -42(m + -1) + -9 Reorder the terms: 40 + -6 + -5m + -36m = -42(m + -1) + -9 Combine like terms: 40 + -6 = 34 34 + -5m + -36m = -42(m + -1) + -9 Combine like terms: -5m + -36m = -41m 34 + -41m = -42(m + -1) + -9 Reorder the terms: 34 + -41m = -42(-1 + m) + -9 34 + -41m = (-1 * -42 + m * -42) + -9 34 + -41m = (42 + -42m) + -9 Reorder the terms: 34 + -41m = 42 + -9 + -42m Combine like terms: 42 + -9 = 33 34 + -41m = 33 + -42m Solving 34 + -41m = 33 + -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. 34 + -41m + 42m = 33 + -42m + 42m Combine like terms: -41m + 42m = 1m 34 + 1m = 33 + -42m + 42m Combine like terms: -42m + 42m = 0 34 + 1m = 33 + 0 34 + 1m = 33 Add '-34' to each side of the equation. 34 + -34 + 1m = 33 + -34 Combine like terms: 34 + -34 = 0 0 + 1m = 33 + -34 1m = 33 + -34 Combine like terms: 33 + -34 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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