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Simplifying -6(11w + 20) = -15w + -19 + 1 Reorder the terms: -6(20 + 11w) = -15w + -19 + 1 (20 * -6 + 11w * -6) = -15w + -19 + 1 (-120 + -66w) = -15w + -19 + 1 Reorder the terms: -120 + -66w = -19 + 1 + -15w Combine like terms: -19 + 1 = -18 -120 + -66w = -18 + -15w Solving -120 + -66w = -18 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. -120 + -66w + 15w = -18 + -15w + 15w Combine like terms: -66w + 15w = -51w -120 + -51w = -18 + -15w + 15w Combine like terms: -15w + 15w = 0 -120 + -51w = -18 + 0 -120 + -51w = -18 Add '120' to each side of the equation. -120 + 120 + -51w = -18 + 120 Combine like terms: -120 + 120 = 0 0 + -51w = -18 + 120 -51w = -18 + 120 Combine like terms: -18 + 120 = 102 -51w = 102 Divide each side by '-51'. w = -2 Simplifying w = -2
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