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Simplifying -7w + 4(w + 6) = 18 Reorder the terms: -7w + 4(6 + w) = 18 -7w + (6 * 4 + w * 4) = 18 -7w + (24 + 4w) = 18 Reorder the terms: 24 + -7w + 4w = 18 Combine like terms: -7w + 4w = -3w 24 + -3w = 18 Solving 24 + -3w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3w = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -3w = 18 + -24 -3w = 18 + -24 Combine like terms: 18 + -24 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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