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Simplifying 3(w + 2) + -4(w + 5) = 0 Reorder the terms: 3(2 + w) + -4(w + 5) = 0 (2 * 3 + w * 3) + -4(w + 5) = 0 (6 + 3w) + -4(w + 5) = 0 Reorder the terms: 6 + 3w + -4(5 + w) = 0 6 + 3w + (5 * -4 + w * -4) = 0 6 + 3w + (-20 + -4w) = 0 Reorder the terms: 6 + -20 + 3w + -4w = 0 Combine like terms: 6 + -20 = -14 -14 + 3w + -4w = 0 Combine like terms: 3w + -4w = -1w -14 + -1w = 0 Solving -14 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 0 + 14 -1w = 0 + 14 Combine like terms: 0 + 14 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14
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