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Simplifying 3x + 4 + -5m = 12 + m + -2 Reorder the terms: 4 + -5m + 3x = 12 + m + -2 Reorder the terms: 4 + -5m + 3x = 12 + -2 + m Combine like terms: 12 + -2 = 10 4 + -5m + 3x = 10 + m Solving 4 + -5m + 3x = 10 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 4 + -5m + -1m + 3x = 10 + m + -1m Combine like terms: -5m + -1m = -6m 4 + -6m + 3x = 10 + m + -1m Combine like terms: m + -1m = 0 4 + -6m + 3x = 10 + 0 4 + -6m + 3x = 10 Add '-4' to each side of the equation. 4 + -6m + -4 + 3x = 10 + -4 Reorder the terms: 4 + -4 + -6m + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -6m + 3x = 10 + -4 -6m + 3x = 10 + -4 Combine like terms: 10 + -4 = 6 -6m + 3x = 6 Add '-3x' to each side of the equation. -6m + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -6m + 0 = 6 + -3x -6m = 6 + -3x Divide each side by '-6'. m = -1 + 0.5x Simplifying m = -1 + 0.5x
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