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Simplifying -33 = 3(w + -5) Reorder the terms: -33 = 3(-5 + w) -33 = (-5 * 3 + w * 3) -33 = (-15 + 3w) Solving -33 = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -33 + -3w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -33 + -3w = -15 + 0 -33 + -3w = -15 Add '33' to each side of the equation. -33 + 33 + -3w = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -3w = -15 + 33 -3w = -15 + 33 Combine like terms: -15 + 33 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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