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Simplifying -33 = -3w + 6(w + -6) Reorder the terms: -33 = -3w + 6(-6 + w) -33 = -3w + (-6 * 6 + w * 6) -33 = -3w + (-36 + 6w) Reorder the terms: -33 = -36 + -3w + 6w Combine like terms: -3w + 6w = 3w -33 = -36 + 3w Solving -33 = -36 + 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 = -36 + 3w + -3w Combine like terms: 3w + -3w = 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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