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Simplifying 7(w + -8) = 6(2 + w) Reorder the terms: 7(-8 + w) = 6(2 + w) (-8 * 7 + w * 7) = 6(2 + w) (-56 + 7w) = 6(2 + w) -56 + 7w = (2 * 6 + w * 6) -56 + 7w = (12 + 6w) Solving -56 + 7w = 12 + 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 = 12 + 6w + -6w Combine like terms: 7w + -6w = 1w -56 + 1w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -56 + 1w = 12 + 0 -56 + 1w = 12 Add '56' to each side of the equation. -56 + 56 + 1w = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 1w = 12 + 56 1w = 12 + 56 Combine like terms: 12 + 56 = 68 1w = 68 Divide each side by '1'. w = 68 Simplifying w = 68
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