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Simplifying 0 = 3(w + 5) + -4(w + 5) Reorder the terms: 0 = 3(5 + w) + -4(w + 5) 0 = (5 * 3 + w * 3) + -4(w + 5) 0 = (15 + 3w) + -4(w + 5) Reorder the terms: 0 = 15 + 3w + -4(5 + w) 0 = 15 + 3w + (5 * -4 + w * -4) 0 = 15 + 3w + (-20 + -4w) Reorder the terms: 0 = 15 + -20 + 3w + -4w Combine like terms: 15 + -20 = -5 0 = -5 + 3w + -4w Combine like terms: 3w + -4w = -1w 0 = -5 + -1w Solving 0 = -5 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 0 + w = -5 + -1w + w Remove the zero: w = -5 + -1w + w Combine like terms: -1w + w = 0 w = -5 + 0 w = -5 Simplifying w = -5
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