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Simplifying 36 = 8(4m + -7) + 5(7m + 5) Reorder the terms: 36 = 8(-7 + 4m) + 5(7m + 5) 36 = (-7 * 8 + 4m * 8) + 5(7m + 5) 36 = (-56 + 32m) + 5(7m + 5) Reorder the terms: 36 = -56 + 32m + 5(5 + 7m) 36 = -56 + 32m + (5 * 5 + 7m * 5) 36 = -56 + 32m + (25 + 35m) Reorder the terms: 36 = -56 + 25 + 32m + 35m Combine like terms: -56 + 25 = -31 36 = -31 + 32m + 35m Combine like terms: 32m + 35m = 67m 36 = -31 + 67m Solving 36 = -31 + 67m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-67m' to each side of the equation. 36 + -67m = -31 + 67m + -67m Combine like terms: 67m + -67m = 0 36 + -67m = -31 + 0 36 + -67m = -31 Add '-36' to each side of the equation. 36 + -36 + -67m = -31 + -36 Combine like terms: 36 + -36 = 0 0 + -67m = -31 + -36 -67m = -31 + -36 Combine like terms: -31 + -36 = -67 -67m = -67 Divide each side by '-67'. m = 1 Simplifying m = 1
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