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Simplifying -3w + 33 = -6(w + -6) Reorder the terms: 33 + -3w = -6(w + -6) Reorder the terms: 33 + -3w = -6(-6 + w) 33 + -3w = (-6 * -6 + w * -6) 33 + -3w = (36 + -6w) Solving 33 + -3w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 33 + -3w + 6w = 36 + -6w + 6w Combine like terms: -3w + 6w = 3w 33 + 3w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 33 + 3w = 36 + 0 33 + 3w = 36 Add '-33' to each side of the equation. 33 + -33 + 3w = 36 + -33 Combine like terms: 33 + -33 = 0 0 + 3w = 36 + -33 3w = 36 + -33 Combine like terms: 36 + -33 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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