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Simplifying 4(w + -2) + -2 = -3(-8w + 2) + -2w Reorder the terms: 4(-2 + w) + -2 = -3(-8w + 2) + -2w (-2 * 4 + w * 4) + -2 = -3(-8w + 2) + -2w (-8 + 4w) + -2 = -3(-8w + 2) + -2w Reorder the terms: -8 + -2 + 4w = -3(-8w + 2) + -2w Combine like terms: -8 + -2 = -10 -10 + 4w = -3(-8w + 2) + -2w Reorder the terms: -10 + 4w = -3(2 + -8w) + -2w -10 + 4w = (2 * -3 + -8w * -3) + -2w -10 + 4w = (-6 + 24w) + -2w Combine like terms: 24w + -2w = 22w -10 + 4w = -6 + 22w Solving -10 + 4w = -6 + 22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22w' to each side of the equation. -10 + 4w + -22w = -6 + 22w + -22w Combine like terms: 4w + -22w = -18w -10 + -18w = -6 + 22w + -22w Combine like terms: 22w + -22w = 0 -10 + -18w = -6 + 0 -10 + -18w = -6 Add '10' to each side of the equation. -10 + 10 + -18w = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -18w = -6 + 10 -18w = -6 + 10 Combine like terms: -6 + 10 = 4 -18w = 4 Divide each side by '-18'. w = -0.2222222222 Simplifying w = -0.2222222222
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