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Simplifying (w + -2) + -2 = -3(-8w + 2) + -2w Reorder the terms: (-2 + w) + -2 = -3(-8w + 2) + -2w Remove parenthesis around (-2 + w) -2 + w + -2 = -3(-8w + 2) + -2w Reorder the terms: -2 + -2 + w = -3(-8w + 2) + -2w Combine like terms: -2 + -2 = -4 -4 + w = -3(-8w + 2) + -2w Reorder the terms: -4 + w = -3(2 + -8w) + -2w -4 + w = (2 * -3 + -8w * -3) + -2w -4 + w = (-6 + 24w) + -2w Combine like terms: 24w + -2w = 22w -4 + w = -6 + 22w Solving -4 + w = -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. -4 + w + -22w = -6 + 22w + -22w Combine like terms: w + -22w = -21w -4 + -21w = -6 + 22w + -22w Combine like terms: 22w + -22w = 0 -4 + -21w = -6 + 0 -4 + -21w = -6 Add '4' to each side of the equation. -4 + 4 + -21w = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -21w = -6 + 4 -21w = -6 + 4 Combine like terms: -6 + 4 = -2 -21w = -2 Divide each side by '-21'. w = 0.09523809524 Simplifying w = 0.09523809524
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