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Simplifying 7(w + -3) = -5w + -33 Reorder the terms: 7(-3 + w) = -5w + -33 (-3 * 7 + w * 7) = -5w + -33 (-21 + 7w) = -5w + -33 Reorder the terms: -21 + 7w = -33 + -5w Solving -21 + 7w = -33 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -21 + 7w + 5w = -33 + -5w + 5w Combine like terms: 7w + 5w = 12w -21 + 12w = -33 + -5w + 5w Combine like terms: -5w + 5w = 0 -21 + 12w = -33 + 0 -21 + 12w = -33 Add '21' to each side of the equation. -21 + 21 + 12w = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 12w = -33 + 21 12w = -33 + 21 Combine like terms: -33 + 21 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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