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Simplifying 4(m + -6) + 3m = 5m + 8 Reorder the terms: 4(-6 + m) + 3m = 5m + 8 (-6 * 4 + m * 4) + 3m = 5m + 8 (-24 + 4m) + 3m = 5m + 8 Combine like terms: 4m + 3m = 7m -24 + 7m = 5m + 8 Reorder the terms: -24 + 7m = 8 + 5m Solving -24 + 7m = 8 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -24 + 7m + -5m = 8 + 5m + -5m Combine like terms: 7m + -5m = 2m -24 + 2m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 -24 + 2m = 8 + 0 -24 + 2m = 8 Add '24' to each side of the equation. -24 + 24 + 2m = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2m = 8 + 24 2m = 8 + 24 Combine like terms: 8 + 24 = 32 2m = 32 Divide each side by '2'. m = 16 Simplifying m = 16
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