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Simplifying 6(w + 6) + -1(4w + -9) = 9w Reorder the terms: 6(6 + w) + -1(4w + -9) = 9w (6 * 6 + w * 6) + -1(4w + -9) = 9w (36 + 6w) + -1(4w + -9) = 9w Reorder the terms: 36 + 6w + -1(-9 + 4w) = 9w 36 + 6w + (-9 * -1 + 4w * -1) = 9w 36 + 6w + (9 + -4w) = 9w Reorder the terms: 36 + 9 + 6w + -4w = 9w Combine like terms: 36 + 9 = 45 45 + 6w + -4w = 9w Combine like terms: 6w + -4w = 2w 45 + 2w = 9w Solving 45 + 2w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 45 + 2w + -9w = 9w + -9w Combine like terms: 2w + -9w = -7w 45 + -7w = 9w + -9w Combine like terms: 9w + -9w = 0 45 + -7w = 0 Add '-45' to each side of the equation. 45 + -45 + -7w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7w = 0 + -45 -7w = 0 + -45 Combine like terms: 0 + -45 = -45 -7w = -45 Divide each side by '-7'. w = 6.428571429 Simplifying w = 6.428571429
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