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Simplifying (2x + -5) + 8(w + 8) = 169 Reorder the terms: (-5 + 2x) + 8(w + 8) = 169 Remove parenthesis around (-5 + 2x) -5 + 2x + 8(w + 8) = 169 Reorder the terms: -5 + 2x + 8(8 + w) = 169 -5 + 2x + (8 * 8 + w * 8) = 169 -5 + 2x + (64 + 8w) = 169 Reorder the terms: -5 + 64 + 8w + 2x = 169 Combine like terms: -5 + 64 = 59 59 + 8w + 2x = 169 Solving 59 + 8w + 2x = 169 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + 8w + -59 + 2x = 169 + -59 Reorder the terms: 59 + -59 + 8w + 2x = 169 + -59 Combine like terms: 59 + -59 = 0 0 + 8w + 2x = 169 + -59 8w + 2x = 169 + -59 Combine like terms: 169 + -59 = 110 8w + 2x = 110 Add '-2x' to each side of the equation. 8w + 2x + -2x = 110 + -2x Combine like terms: 2x + -2x = 0 8w + 0 = 110 + -2x 8w = 110 + -2x Divide each side by '8'. w = 13.75 + -0.25x Simplifying w = 13.75 + -0.25x
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