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Simplifying 5(8w + 8) = 4(8w + 5) Reorder the terms: 5(8 + 8w) = 4(8w + 5) (8 * 5 + 8w * 5) = 4(8w + 5) (40 + 40w) = 4(8w + 5) Reorder the terms: 40 + 40w = 4(5 + 8w) 40 + 40w = (5 * 4 + 8w * 4) 40 + 40w = (20 + 32w) Solving 40 + 40w = 20 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 40 + 40w + -32w = 20 + 32w + -32w Combine like terms: 40w + -32w = 8w 40 + 8w = 20 + 32w + -32w Combine like terms: 32w + -32w = 0 40 + 8w = 20 + 0 40 + 8w = 20 Add '-40' to each side of the equation. 40 + -40 + 8w = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 8w = 20 + -40 8w = 20 + -40 Combine like terms: 20 + -40 = -20 8w = -20 Divide each side by '8'. w = -2.5 Simplifying w = -2.5
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