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Simplifying 9(w + -7) = 8(w + -2) Reorder the terms: 9(-7 + w) = 8(w + -2) (-7 * 9 + w * 9) = 8(w + -2) (-63 + 9w) = 8(w + -2) Reorder the terms: -63 + 9w = 8(-2 + w) -63 + 9w = (-2 * 8 + w * 8) -63 + 9w = (-16 + 8w) Solving -63 + 9w = -16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -63 + 9w + -8w = -16 + 8w + -8w Combine like terms: 9w + -8w = 1w -63 + 1w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 -63 + 1w = -16 + 0 -63 + 1w = -16 Add '63' to each side of the equation. -63 + 63 + 1w = -16 + 63 Combine like terms: -63 + 63 = 0 0 + 1w = -16 + 63 1w = -16 + 63 Combine like terms: -16 + 63 = 47 1w = 47 Divide each side by '1'. w = 47 Simplifying w = 47
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