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Simplifying 3(x + 5m + 2) = 0 Reorder the terms: 3(2 + 5m + x) = 0 (2 * 3 + 5m * 3 + x * 3) = 0 (6 + 15m + 3x) = 0 Solving 6 + 15m + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 15m + -6 + 3x = 0 + -6 Reorder the terms: 6 + -6 + 15m + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15m + 3x = 0 + -6 15m + 3x = 0 + -6 Combine like terms: 0 + -6 = -6 15m + 3x = -6 Add '-3x' to each side of the equation. 15m + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 15m + 0 = -6 + -3x 15m = -6 + -3x Divide each side by '15'. m = -0.4 + -0.2x Simplifying m = -0.4 + -0.2x
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