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Simplifying 6w + 8(3 + -1w) + -4 = -17 6w + (3 * 8 + -1w * 8) + -4 = -17 6w + (24 + -8w) + -4 = -17 Reorder the terms: 24 + -4 + 6w + -8w = -17 Combine like terms: 24 + -4 = 20 20 + 6w + -8w = -17 Combine like terms: 6w + -8w = -2w 20 + -2w = -17 Solving 20 + -2w = -17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2w = -17 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = -17 + -20 -2w = -17 + -20 Combine like terms: -17 + -20 = -37 -2w = -37 Divide each side by '-2'. w = 18.5 Simplifying w = 18.5
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