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Simplifying 32w + 200 = 40(w + 2) Reorder the terms: 200 + 32w = 40(w + 2) Reorder the terms: 200 + 32w = 40(2 + w) 200 + 32w = (2 * 40 + w * 40) 200 + 32w = (80 + 40w) Solving 200 + 32w = 80 + 40w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40w' to each side of the equation. 200 + 32w + -40w = 80 + 40w + -40w Combine like terms: 32w + -40w = -8w 200 + -8w = 80 + 40w + -40w Combine like terms: 40w + -40w = 0 200 + -8w = 80 + 0 200 + -8w = 80 Add '-200' to each side of the equation. 200 + -200 + -8w = 80 + -200 Combine like terms: 200 + -200 = 0 0 + -8w = 80 + -200 -8w = 80 + -200 Combine like terms: 80 + -200 = -120 -8w = -120 Divide each side by '-8'. w = 15 Simplifying w = 15
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