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Simplifying 7(w + -9) = 6(9 + w) Reorder the terms: 7(-9 + w) = 6(9 + w) (-9 * 7 + w * 7) = 6(9 + w) (-63 + 7w) = 6(9 + w) -63 + 7w = (9 * 6 + w * 6) -63 + 7w = (54 + 6w) Solving -63 + 7w = 54 + 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 = 54 + 6w + -6w Combine like terms: 7w + -6w = 1w -63 + 1w = 54 + 6w + -6w Combine like terms: 6w + -6w = 0 -63 + 1w = 54 + 0 -63 + 1w = 54 Add '63' to each side of the equation. -63 + 63 + 1w = 54 + 63 Combine like terms: -63 + 63 = 0 0 + 1w = 54 + 63 1w = 54 + 63 Combine like terms: 54 + 63 = 117 1w = 117 Divide each side by '1'. w = 117 Simplifying w = 117
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