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Simplifying 7(w + 8) = 6w + -4 Reorder the terms: 7(8 + w) = 6w + -4 (8 * 7 + w * 7) = 6w + -4 (56 + 7w) = 6w + -4 Reorder the terms: 56 + 7w = -4 + 6w Solving 56 + 7w = -4 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 56 + 7w + -6w = -4 + 6w + -6w Combine like terms: 7w + -6w = 1w 56 + 1w = -4 + 6w + -6w Combine like terms: 6w + -6w = 0 56 + 1w = -4 + 0 56 + 1w = -4 Add '-56' to each side of the equation. 56 + -56 + 1w = -4 + -56 Combine like terms: 56 + -56 = 0 0 + 1w = -4 + -56 1w = -4 + -56 Combine like terms: -4 + -56 = -60 1w = -60 Divide each side by '1'. w = -60 Simplifying w = -60
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