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Simplifying 7(5 + -1w) + w = -1 (5 * 7 + -1w * 7) + w = -1 (35 + -7w) + w = -1 Combine like terms: -7w + w = -6w 35 + -6w = -1 Solving 35 + -6w = -1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -6w = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -6w = -1 + -35 -6w = -1 + -35 Combine like terms: -1 + -35 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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