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Simplifying 5(1 + 7m) + 7 = -8(5m + -3) + -2 (1 * 5 + 7m * 5) + 7 = -8(5m + -3) + -2 (5 + 35m) + 7 = -8(5m + -3) + -2 Reorder the terms: 5 + 7 + 35m = -8(5m + -3) + -2 Combine like terms: 5 + 7 = 12 12 + 35m = -8(5m + -3) + -2 Reorder the terms: 12 + 35m = -8(-3 + 5m) + -2 12 + 35m = (-3 * -8 + 5m * -8) + -2 12 + 35m = (24 + -40m) + -2 Reorder the terms: 12 + 35m = 24 + -2 + -40m Combine like terms: 24 + -2 = 22 12 + 35m = 22 + -40m Solving 12 + 35m = 22 + -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. 12 + 35m + 40m = 22 + -40m + 40m Combine like terms: 35m + 40m = 75m 12 + 75m = 22 + -40m + 40m Combine like terms: -40m + 40m = 0 12 + 75m = 22 + 0 12 + 75m = 22 Add '-12' to each side of the equation. 12 + -12 + 75m = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 75m = 22 + -12 75m = 22 + -12 Combine like terms: 22 + -12 = 10 75m = 10 Divide each side by '75'. m = 0.1333333333 Simplifying m = 0.1333333333
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