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Simplifying 18 + -3(w + -9) = 54 Reorder the terms: 18 + -3(-9 + w) = 54 18 + (-9 * -3 + w * -3) = 54 18 + (27 + -3w) = 54 Combine like terms: 18 + 27 = 45 45 + -3w = 54 Solving 45 + -3w = 54 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -3w = 54 + -45 Combine like terms: 45 + -45 = 0 0 + -3w = 54 + -45 -3w = 54 + -45 Combine like terms: 54 + -45 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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