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Simplifying 8w + 9 = 7(4w + -8) Reorder the terms: 9 + 8w = 7(4w + -8) Reorder the terms: 9 + 8w = 7(-8 + 4w) 9 + 8w = (-8 * 7 + 4w * 7) 9 + 8w = (-56 + 28w) Solving 9 + 8w = -56 + 28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28w' to each side of the equation. 9 + 8w + -28w = -56 + 28w + -28w Combine like terms: 8w + -28w = -20w 9 + -20w = -56 + 28w + -28w Combine like terms: 28w + -28w = 0 9 + -20w = -56 + 0 9 + -20w = -56 Add '-9' to each side of the equation. 9 + -9 + -20w = -56 + -9 Combine like terms: 9 + -9 = 0 0 + -20w = -56 + -9 -20w = -56 + -9 Combine like terms: -56 + -9 = -65 -20w = -65 Divide each side by '-20'. w = 3.25 Simplifying w = 3.25
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