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Simplifying 3(w + 20) = 144 + -3w + -30 Reorder the terms: 3(20 + w) = 144 + -3w + -30 (20 * 3 + w * 3) = 144 + -3w + -30 (60 + 3w) = 144 + -3w + -30 Reorder the terms: 60 + 3w = 144 + -30 + -3w Combine like terms: 144 + -30 = 114 60 + 3w = 114 + -3w Solving 60 + 3w = 114 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 60 + 3w + 3w = 114 + -3w + 3w Combine like terms: 3w + 3w = 6w 60 + 6w = 114 + -3w + 3w Combine like terms: -3w + 3w = 0 60 + 6w = 114 + 0 60 + 6w = 114 Add '-60' to each side of the equation. 60 + -60 + 6w = 114 + -60 Combine like terms: 60 + -60 = 0 0 + 6w = 114 + -60 6w = 114 + -60 Combine like terms: 114 + -60 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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