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Simplifying 18 + -3(w + 12) = -45 Reorder the terms: 18 + -3(12 + w) = -45 18 + (12 * -3 + w * -3) = -45 18 + (-36 + -3w) = -45 Combine like terms: 18 + -36 = -18 -18 + -3w = -45 Solving -18 + -3w = -45 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3w = -45 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = -45 + 18 -3w = -45 + 18 Combine like terms: -45 + 18 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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