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Simplifying 5m + 18 = 3(5m + -8) + -4m Reorder the terms: 18 + 5m = 3(5m + -8) + -4m Reorder the terms: 18 + 5m = 3(-8 + 5m) + -4m 18 + 5m = (-8 * 3 + 5m * 3) + -4m 18 + 5m = (-24 + 15m) + -4m Combine like terms: 15m + -4m = 11m 18 + 5m = -24 + 11m Solving 18 + 5m = -24 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 18 + 5m + -11m = -24 + 11m + -11m Combine like terms: 5m + -11m = -6m 18 + -6m = -24 + 11m + -11m Combine like terms: 11m + -11m = 0 18 + -6m = -24 + 0 18 + -6m = -24 Add '-18' to each side of the equation. 18 + -18 + -6m = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -6m = -24 + -18 -6m = -24 + -18 Combine like terms: -24 + -18 = -42 -6m = -42 Divide each side by '-6'. m = 7 Simplifying m = 7
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