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Simplifying -8w + 17 + -1w = -2(3w + 1) Reorder the terms: 17 + -8w + -1w = -2(3w + 1) Combine like terms: -8w + -1w = -9w 17 + -9w = -2(3w + 1) Reorder the terms: 17 + -9w = -2(1 + 3w) 17 + -9w = (1 * -2 + 3w * -2) 17 + -9w = (-2 + -6w) Solving 17 + -9w = -2 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 17 + -9w + 6w = -2 + -6w + 6w Combine like terms: -9w + 6w = -3w 17 + -3w = -2 + -6w + 6w Combine like terms: -6w + 6w = 0 17 + -3w = -2 + 0 17 + -3w = -2 Add '-17' to each side of the equation. 17 + -17 + -3w = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -3w = -2 + -17 -3w = -2 + -17 Combine like terms: -2 + -17 = -19 -3w = -19 Divide each side by '-3'. w = 6.333333333 Simplifying w = 6.333333333
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