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Simplifying 7(3w + 5) + -4w + -20 = 0 Reorder the terms: 7(5 + 3w) + -4w + -20 = 0 (5 * 7 + 3w * 7) + -4w + -20 = 0 (35 + 21w) + -4w + -20 = 0 Reorder the terms: 35 + -20 + 21w + -4w = 0 Combine like terms: 35 + -20 = 15 15 + 21w + -4w = 0 Combine like terms: 21w + -4w = 17w 15 + 17w = 0 Solving 15 + 17w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 17w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 17w = 0 + -15 17w = 0 + -15 Combine like terms: 0 + -15 = -15 17w = -15 Divide each side by '17'. w = -0.8823529412 Simplifying w = -0.8823529412
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