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Simplifying 6(1 + -4w) + -8 = 36 (1 * 6 + -4w * 6) + -8 = 36 (6 + -24w) + -8 = 36 Reorder the terms: 6 + -8 + -24w = 36 Combine like terms: 6 + -8 = -2 -2 + -24w = 36 Solving -2 + -24w = 36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -24w = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -24w = 36 + 2 -24w = 36 + 2 Combine like terms: 36 + 2 = 38 -24w = 38 Divide each side by '-24'. w = -1.583333333 Simplifying w = -1.583333333
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