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Simplifying 5m + -5(5 + -6) = 4m + 3(m + -8) Combine like terms: 5 + -6 = -1 5m + -5(-1) = 4m + 3(m + -8) Multiply -5 * -1 5m + 5 = 4m + 3(m + -8) Reorder the terms: 5 + 5m = 4m + 3(m + -8) Reorder the terms: 5 + 5m = 4m + 3(-8 + m) 5 + 5m = 4m + (-8 * 3 + m * 3) 5 + 5m = 4m + (-24 + 3m) Reorder the terms: 5 + 5m = -24 + 4m + 3m Combine like terms: 4m + 3m = 7m 5 + 5m = -24 + 7m Solving 5 + 5m = -24 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 5 + 5m + -7m = -24 + 7m + -7m Combine like terms: 5m + -7m = -2m 5 + -2m = -24 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + -2m = -24 + 0 5 + -2m = -24 Add '-5' to each side of the equation. 5 + -5 + -2m = -24 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = -24 + -5 -2m = -24 + -5 Combine like terms: -24 + -5 = -29 -2m = -29 Divide each side by '-2'. m = 14.5 Simplifying m = 14.5
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