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Simplifying -3(w + 5) = 9w + 33 Reorder the terms: -3(5 + w) = 9w + 33 (5 * -3 + w * -3) = 9w + 33 (-15 + -3w) = 9w + 33 Reorder the terms: -15 + -3w = 33 + 9w Solving -15 + -3w = 33 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + -3w + -9w = 33 + 9w + -9w Combine like terms: -3w + -9w = -12w -15 + -12w = 33 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -12w = 33 + 0 -15 + -12w = 33 Add '15' to each side of the equation. -15 + 15 + -12w = 33 + 15 Combine like terms: -15 + 15 = 0 0 + -12w = 33 + 15 -12w = 33 + 15 Combine like terms: 33 + 15 = 48 -12w = 48 Divide each side by '-12'. w = -4 Simplifying w = -4
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