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Simplifying 6(3w + -9) = -3(1 + 11w) Reorder the terms: 6(-9 + 3w) = -3(1 + 11w) (-9 * 6 + 3w * 6) = -3(1 + 11w) (-54 + 18w) = -3(1 + 11w) -54 + 18w = (1 * -3 + 11w * -3) -54 + 18w = (-3 + -33w) Solving -54 + 18w = -3 + -33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '33w' to each side of the equation. -54 + 18w + 33w = -3 + -33w + 33w Combine like terms: 18w + 33w = 51w -54 + 51w = -3 + -33w + 33w Combine like terms: -33w + 33w = 0 -54 + 51w = -3 + 0 -54 + 51w = -3 Add '54' to each side of the equation. -54 + 54 + 51w = -3 + 54 Combine like terms: -54 + 54 = 0 0 + 51w = -3 + 54 51w = -3 + 54 Combine like terms: -3 + 54 = 51 51w = 51 Divide each side by '51'. w = 1 Simplifying w = 1
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