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Simplifying -5(-6w + 5) + -9w = 7(w + -4) + -9 Reorder the terms: -5(5 + -6w) + -9w = 7(w + -4) + -9 (5 * -5 + -6w * -5) + -9w = 7(w + -4) + -9 (-25 + 30w) + -9w = 7(w + -4) + -9 Combine like terms: 30w + -9w = 21w -25 + 21w = 7(w + -4) + -9 Reorder the terms: -25 + 21w = 7(-4 + w) + -9 -25 + 21w = (-4 * 7 + w * 7) + -9 -25 + 21w = (-28 + 7w) + -9 Reorder the terms: -25 + 21w = -28 + -9 + 7w Combine like terms: -28 + -9 = -37 -25 + 21w = -37 + 7w Solving -25 + 21w = -37 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -25 + 21w + -7w = -37 + 7w + -7w Combine like terms: 21w + -7w = 14w -25 + 14w = -37 + 7w + -7w Combine like terms: 7w + -7w = 0 -25 + 14w = -37 + 0 -25 + 14w = -37 Add '25' to each side of the equation. -25 + 25 + 14w = -37 + 25 Combine like terms: -25 + 25 = 0 0 + 14w = -37 + 25 14w = -37 + 25 Combine like terms: -37 + 25 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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