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Simplifying 8w + -17 = 4 + -3(2 + -3w) Reorder the terms: -17 + 8w = 4 + -3(2 + -3w) -17 + 8w = 4 + (2 * -3 + -3w * -3) -17 + 8w = 4 + (-6 + 9w) Combine like terms: 4 + -6 = -2 -17 + 8w = -2 + 9w Solving -17 + 8w = -2 + 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. -17 + 8w + -9w = -2 + 9w + -9w Combine like terms: 8w + -9w = -1w -17 + -1w = -2 + 9w + -9w Combine like terms: 9w + -9w = 0 -17 + -1w = -2 + 0 -17 + -1w = -2 Add '17' to each side of the equation. -17 + 17 + -1w = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -1w = -2 + 17 -1w = -2 + 17 Combine like terms: -2 + 17 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15
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