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Simplifying 3w + -33 = -3(w + -3) Reorder the terms: -33 + 3w = -3(w + -3) Reorder the terms: -33 + 3w = -3(-3 + w) -33 + 3w = (-3 * -3 + w * -3) -33 + 3w = (9 + -3w) Solving -33 + 3w = 9 + -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 + 3w = 9 + -3w + 3w Combine like terms: 3w + 3w = 6w -33 + 6w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 -33 + 6w = 9 + 0 -33 + 6w = 9 Add '33' to each side of the equation. -33 + 33 + 6w = 9 + 33 Combine like terms: -33 + 33 = 0 0 + 6w = 9 + 33 6w = 9 + 33 Combine like terms: 9 + 33 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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