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Simplifying -4(w + 1) = -4(6w + -1) + 2w Reorder the terms: -4(1 + w) = -4(6w + -1) + 2w (1 * -4 + w * -4) = -4(6w + -1) + 2w (-4 + -4w) = -4(6w + -1) + 2w Reorder the terms: -4 + -4w = -4(-1 + 6w) + 2w -4 + -4w = (-1 * -4 + 6w * -4) + 2w -4 + -4w = (4 + -24w) + 2w Combine like terms: -24w + 2w = -22w -4 + -4w = 4 + -22w Solving -4 + -4w = 4 + -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 + -4w + 22w = 4 + -22w + 22w Combine like terms: -4w + 22w = 18w -4 + 18w = 4 + -22w + 22w Combine like terms: -22w + 22w = 0 -4 + 18w = 4 + 0 -4 + 18w = 4 Add '4' to each side of the equation. -4 + 4 + 18w = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 18w = 4 + 4 18w = 4 + 4 Combine like terms: 4 + 4 = 8 18w = 8 Divide each side by '18'. w = 0.4444444444 Simplifying w = 0.4444444444
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