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Simplifying 5(-3w + -6) = 4w + -11 Reorder the terms: 5(-6 + -3w) = 4w + -11 (-6 * 5 + -3w * 5) = 4w + -11 (-30 + -15w) = 4w + -11 Reorder the terms: -30 + -15w = -11 + 4w Solving -30 + -15w = -11 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -30 + -15w + -4w = -11 + 4w + -4w Combine like terms: -15w + -4w = -19w -30 + -19w = -11 + 4w + -4w Combine like terms: 4w + -4w = 0 -30 + -19w = -11 + 0 -30 + -19w = -11 Add '30' to each side of the equation. -30 + 30 + -19w = -11 + 30 Combine like terms: -30 + 30 = 0 0 + -19w = -11 + 30 -19w = -11 + 30 Combine like terms: -11 + 30 = 19 -19w = 19 Divide each side by '-19'. w = -1 Simplifying w = -1
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