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Simplifying 8w + 8(4w + 19) = 534 Reorder the terms: 8w + 8(19 + 4w) = 534 8w + (19 * 8 + 4w * 8) = 534 8w + (152 + 32w) = 534 Reorder the terms: 152 + 8w + 32w = 534 Combine like terms: 8w + 32w = 40w 152 + 40w = 534 Solving 152 + 40w = 534 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-152' to each side of the equation. 152 + -152 + 40w = 534 + -152 Combine like terms: 152 + -152 = 0 0 + 40w = 534 + -152 40w = 534 + -152 Combine like terms: 534 + -152 = 382 40w = 382 Divide each side by '40'. w = 9.55 Simplifying w = 9.55
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