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Simplifying 12w + 4(6 + -1w) = 5x + 17 12w + (6 * 4 + -1w * 4) = 5x + 17 12w + (24 + -4w) = 5x + 17 Reorder the terms: 24 + 12w + -4w = 5x + 17 Combine like terms: 12w + -4w = 8w 24 + 8w = 5x + 17 Reorder the terms: 24 + 8w = 17 + 5x Solving 24 + 8w = 17 + 5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8w = 17 + -24 + 5x Combine like terms: 24 + -24 = 0 0 + 8w = 17 + -24 + 5x 8w = 17 + -24 + 5x Combine like terms: 17 + -24 = -7 8w = -7 + 5x Divide each side by '8'. w = -0.875 + 0.625x Simplifying w = -0.875 + 0.625x
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