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Simplifying 5(2 + -1x) + -3m = 8(m + -1) (2 * 5 + -1x * 5) + -3m = 8(m + -1) (10 + -5x) + -3m = 8(m + -1) Reorder the terms: 10 + -3m + -5x = 8(m + -1) Reorder the terms: 10 + -3m + -5x = 8(-1 + m) 10 + -3m + -5x = (-1 * 8 + m * 8) 10 + -3m + -5x = (-8 + 8m) Solving 10 + -3m + -5x = -8 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 10 + -3m + -8m + -5x = -8 + 8m + -8m Combine like terms: -3m + -8m = -11m 10 + -11m + -5x = -8 + 8m + -8m Combine like terms: 8m + -8m = 0 10 + -11m + -5x = -8 + 0 10 + -11m + -5x = -8 Add '-10' to each side of the equation. 10 + -11m + -10 + -5x = -8 + -10 Reorder the terms: 10 + -10 + -11m + -5x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -11m + -5x = -8 + -10 -11m + -5x = -8 + -10 Combine like terms: -8 + -10 = -18 -11m + -5x = -18 Add '5x' to each side of the equation. -11m + -5x + 5x = -18 + 5x Combine like terms: -5x + 5x = 0 -11m + 0 = -18 + 5x -11m = -18 + 5x Divide each side by '-11'. m = 1.636363636 + -0.4545454545x Simplifying m = 1.636363636 + -0.4545454545x
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