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Simplifying 4(-4w + 5) + -2w = 4(w + -4) + -2 Reorder the terms: 4(5 + -4w) + -2w = 4(w + -4) + -2 (5 * 4 + -4w * 4) + -2w = 4(w + -4) + -2 (20 + -16w) + -2w = 4(w + -4) + -2 Combine like terms: -16w + -2w = -18w 20 + -18w = 4(w + -4) + -2 Reorder the terms: 20 + -18w = 4(-4 + w) + -2 20 + -18w = (-4 * 4 + w * 4) + -2 20 + -18w = (-16 + 4w) + -2 Reorder the terms: 20 + -18w = -16 + -2 + 4w Combine like terms: -16 + -2 = -18 20 + -18w = -18 + 4w Solving 20 + -18w = -18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 20 + -18w + -4w = -18 + 4w + -4w Combine like terms: -18w + -4w = -22w 20 + -22w = -18 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + -22w = -18 + 0 20 + -22w = -18 Add '-20' to each side of the equation. 20 + -20 + -22w = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -22w = -18 + -20 -22w = -18 + -20 Combine like terms: -18 + -20 = -38 -22w = -38 Divide each side by '-22'. w = 1.727272727 Simplifying w = 1.727272727
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