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Simplifying -4(w + -6) = -7w + 33 Reorder the terms: -4(-6 + w) = -7w + 33 (-6 * -4 + w * -4) = -7w + 33 (24 + -4w) = -7w + 33 Reorder the terms: 24 + -4w = 33 + -7w Solving 24 + -4w = 33 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 24 + -4w + 7w = 33 + -7w + 7w Combine like terms: -4w + 7w = 3w 24 + 3w = 33 + -7w + 7w Combine like terms: -7w + 7w = 0 24 + 3w = 33 + 0 24 + 3w = 33 Add '-24' to each side of the equation. 24 + -24 + 3w = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = 33 + -24 3w = 33 + -24 Combine like terms: 33 + -24 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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