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Simplifying 2(m + 2)(-2) + -14m + 11 = 5(3m + 4) + -42 Reorder the terms: 2(2 + m)(-2) + -14m + 11 = 5(3m + 4) + -42 Reorder the terms for easier multiplication: 2 * -2(2 + m) + -14m + 11 = 5(3m + 4) + -42 Multiply 2 * -2 -4(2 + m) + -14m + 11 = 5(3m + 4) + -42 (2 * -4 + m * -4) + -14m + 11 = 5(3m + 4) + -42 (-8 + -4m) + -14m + 11 = 5(3m + 4) + -42 Reorder the terms: -8 + 11 + -4m + -14m = 5(3m + 4) + -42 Combine like terms: -8 + 11 = 3 3 + -4m + -14m = 5(3m + 4) + -42 Combine like terms: -4m + -14m = -18m 3 + -18m = 5(3m + 4) + -42 Reorder the terms: 3 + -18m = 5(4 + 3m) + -42 3 + -18m = (4 * 5 + 3m * 5) + -42 3 + -18m = (20 + 15m) + -42 Reorder the terms: 3 + -18m = 20 + -42 + 15m Combine like terms: 20 + -42 = -22 3 + -18m = -22 + 15m Solving 3 + -18m = -22 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 3 + -18m + -15m = -22 + 15m + -15m Combine like terms: -18m + -15m = -33m 3 + -33m = -22 + 15m + -15m Combine like terms: 15m + -15m = 0 3 + -33m = -22 + 0 3 + -33m = -22 Add '-3' to each side of the equation. 3 + -3 + -33m = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -33m = -22 + -3 -33m = -22 + -3 Combine like terms: -22 + -3 = -25 -33m = -25 Divide each side by '-33'. m = 0.7575757576 Simplifying m = 0.7575757576
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