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Simplifying 7(w + -9) = 1 + 6w Reorder the terms: 7(-9 + w) = 1 + 6w (-9 * 7 + w * 7) = 1 + 6w (-63 + 7w) = 1 + 6w Solving -63 + 7w = 1 + 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 = 1 + 6w + -6w Combine like terms: 7w + -6w = 1w -63 + 1w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 -63 + 1w = 1 + 0 -63 + 1w = 1 Add '63' to each side of the equation. -63 + 63 + 1w = 1 + 63 Combine like terms: -63 + 63 = 0 0 + 1w = 1 + 63 1w = 1 + 63 Combine like terms: 1 + 63 = 64 1w = 64 Divide each side by '1'. w = 64 Simplifying w = 64
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