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Simplifying 7w + -6(w + -5) = 7 Reorder the terms: 7w + -6(-5 + w) = 7 7w + (-5 * -6 + w * -6) = 7 7w + (30 + -6w) = 7 Reorder the terms: 30 + 7w + -6w = 7 Combine like terms: 7w + -6w = 1w 30 + 1w = 7 Solving 30 + 1w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1w = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 1w = 7 + -30 1w = 7 + -30 Combine like terms: 7 + -30 = -23 1w = -23 Divide each side by '1'. w = -23 Simplifying w = -23
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