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Simplifying 3(w + 3) + 4(w + -2) = 0 Reorder the terms: 3(3 + w) + 4(w + -2) = 0 (3 * 3 + w * 3) + 4(w + -2) = 0 (9 + 3w) + 4(w + -2) = 0 Reorder the terms: 9 + 3w + 4(-2 + w) = 0 9 + 3w + (-2 * 4 + w * 4) = 0 9 + 3w + (-8 + 4w) = 0 Reorder the terms: 9 + -8 + 3w + 4w = 0 Combine like terms: 9 + -8 = 1 1 + 3w + 4w = 0 Combine like terms: 3w + 4w = 7w 1 + 7w = 0 Solving 1 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7w = 0 + -1 7w = 0 + -1 Combine like terms: 0 + -1 = -1 7w = -1 Divide each side by '7'. w = -0.1428571429 Simplifying w = -0.1428571429
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