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Simplifying 7w + -1(6w + -5) = 7 Reorder the terms: 7w + -1(-5 + 6w) = 7 7w + (-5 * -1 + 6w * -1) = 7 7w + (5 + -6w) = 7 Reorder the terms: 5 + 7w + -6w = 7 Combine like terms: 7w + -6w = 1w 5 + 1w = 7 Solving 5 + 1w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1w = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 7 + -5 1w = 7 + -5 Combine like terms: 7 + -5 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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