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Simplifying 14m + 6 + -2m + 3m + m = 4m + -18 Reorder the terms: 6 + 14m + -2m + 3m + m = 4m + -18 Combine like terms: 14m + -2m = 12m 6 + 12m + 3m + m = 4m + -18 Combine like terms: 12m + 3m = 15m 6 + 15m + m = 4m + -18 Combine like terms: 15m + m = 16m 6 + 16m = 4m + -18 Reorder the terms: 6 + 16m = -18 + 4m Solving 6 + 16m = -18 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 6 + 16m + -4m = -18 + 4m + -4m Combine like terms: 16m + -4m = 12m 6 + 12m = -18 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + 12m = -18 + 0 6 + 12m = -18 Add '-6' to each side of the equation. 6 + -6 + 12m = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 12m = -18 + -6 12m = -18 + -6 Combine like terms: -18 + -6 = -24 12m = -24 Divide each side by '12'. m = -2 Simplifying m = -2
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