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Simplifying 9 + -6(9w + 8) = 8w + -5 Reorder the terms: 9 + -6(8 + 9w) = 8w + -5 9 + (8 * -6 + 9w * -6) = 8w + -5 9 + (-48 + -54w) = 8w + -5 Combine like terms: 9 + -48 = -39 -39 + -54w = 8w + -5 Reorder the terms: -39 + -54w = -5 + 8w Solving -39 + -54w = -5 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -39 + -54w + -8w = -5 + 8w + -8w Combine like terms: -54w + -8w = -62w -39 + -62w = -5 + 8w + -8w Combine like terms: 8w + -8w = 0 -39 + -62w = -5 + 0 -39 + -62w = -5 Add '39' to each side of the equation. -39 + 39 + -62w = -5 + 39 Combine like terms: -39 + 39 = 0 0 + -62w = -5 + 39 -62w = -5 + 39 Combine like terms: -5 + 39 = 34 -62w = 34 Divide each side by '-62'. w = -0.5483870968 Simplifying w = -0.5483870968
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