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Simplifying -2(7m + 5) = 8(5m + -2) + 6 Reorder the terms: -2(5 + 7m) = 8(5m + -2) + 6 (5 * -2 + 7m * -2) = 8(5m + -2) + 6 (-10 + -14m) = 8(5m + -2) + 6 Reorder the terms: -10 + -14m = 8(-2 + 5m) + 6 -10 + -14m = (-2 * 8 + 5m * 8) + 6 -10 + -14m = (-16 + 40m) + 6 Reorder the terms: -10 + -14m = -16 + 6 + 40m Combine like terms: -16 + 6 = -10 -10 + -14m = -10 + 40m Add '10' to each side of the equation. -10 + 10 + -14m = -10 + 10 + 40m Combine like terms: -10 + 10 = 0 0 + -14m = -10 + 10 + 40m -14m = -10 + 10 + 40m Combine like terms: -10 + 10 = 0 -14m = 0 + 40m -14m = 40m Solving -14m = 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. -14m + -40m = 40m + -40m Combine like terms: -14m + -40m = -54m -54m = 40m + -40m Combine like terms: 40m + -40m = 0 -54m = 0 Divide each side by '-54'. m = 0 Simplifying m = 0
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