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Simplifying 7(w + 9) = 12(3w + -5) Reorder the terms: 7(9 + w) = 12(3w + -5) (9 * 7 + w * 7) = 12(3w + -5) (63 + 7w) = 12(3w + -5) Reorder the terms: 63 + 7w = 12(-5 + 3w) 63 + 7w = (-5 * 12 + 3w * 12) 63 + 7w = (-60 + 36w) Solving 63 + 7w = -60 + 36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36w' to each side of the equation. 63 + 7w + -36w = -60 + 36w + -36w Combine like terms: 7w + -36w = -29w 63 + -29w = -60 + 36w + -36w Combine like terms: 36w + -36w = 0 63 + -29w = -60 + 0 63 + -29w = -60 Add '-63' to each side of the equation. 63 + -63 + -29w = -60 + -63 Combine like terms: 63 + -63 = 0 0 + -29w = -60 + -63 -29w = -60 + -63 Combine like terms: -60 + -63 = -123 -29w = -123 Divide each side by '-29'. w = 4.24137931 Simplifying w = 4.24137931
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