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Simplifying 7(w + 9) = 8 + 6w Reorder the terms: 7(9 + w) = 8 + 6w (9 * 7 + w * 7) = 8 + 6w (63 + 7w) = 8 + 6w Solving 63 + 7w = 8 + 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. 63 + 7w + -6w = 8 + 6w + -6w Combine like terms: 7w + -6w = 1w 63 + 1w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 63 + 1w = 8 + 0 63 + 1w = 8 Add '-63' to each side of the equation. 63 + -63 + 1w = 8 + -63 Combine like terms: 63 + -63 = 0 0 + 1w = 8 + -63 1w = 8 + -63 Combine like terms: 8 + -63 = -55 1w = -55 Divide each side by '1'. w = -55 Simplifying w = -55
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