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Simplifying 5w + 33 = -7(w + -5) Reorder the terms: 33 + 5w = -7(w + -5) Reorder the terms: 33 + 5w = -7(-5 + w) 33 + 5w = (-5 * -7 + w * -7) 33 + 5w = (35 + -7w) Solving 33 + 5w = 35 + -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. 33 + 5w + 7w = 35 + -7w + 7w Combine like terms: 5w + 7w = 12w 33 + 12w = 35 + -7w + 7w Combine like terms: -7w + 7w = 0 33 + 12w = 35 + 0 33 + 12w = 35 Add '-33' to each side of the equation. 33 + -33 + 12w = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 12w = 35 + -33 12w = 35 + -33 Combine like terms: 35 + -33 = 2 12w = 2 Divide each side by '12'. w = 0.1666666667 Simplifying w = 0.1666666667
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