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Simplifying 7(w + 20) + -1w = 5 Reorder the terms: 7(20 + w) + -1w = 5 (20 * 7 + w * 7) + -1w = 5 (140 + 7w) + -1w = 5 Combine like terms: 7w + -1w = 6w 140 + 6w = 5 Solving 140 + 6w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 6w = 5 + -140 Combine like terms: 140 + -140 = 0 0 + 6w = 5 + -140 6w = 5 + -140 Combine like terms: 5 + -140 = -135 6w = -135 Divide each side by '6'. w = -22.5 Simplifying w = -22.5
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