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Simplifying 4(w + -2) + -9 = -4(-6w + 8) + -2w Reorder the terms: 4(-2 + w) + -9 = -4(-6w + 8) + -2w (-2 * 4 + w * 4) + -9 = -4(-6w + 8) + -2w (-8 + 4w) + -9 = -4(-6w + 8) + -2w Reorder the terms: -8 + -9 + 4w = -4(-6w + 8) + -2w Combine like terms: -8 + -9 = -17 -17 + 4w = -4(-6w + 8) + -2w Reorder the terms: -17 + 4w = -4(8 + -6w) + -2w -17 + 4w = (8 * -4 + -6w * -4) + -2w -17 + 4w = (-32 + 24w) + -2w Combine like terms: 24w + -2w = 22w -17 + 4w = -32 + 22w Solving -17 + 4w = -32 + 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. -17 + 4w + -22w = -32 + 22w + -22w Combine like terms: 4w + -22w = -18w -17 + -18w = -32 + 22w + -22w Combine like terms: 22w + -22w = 0 -17 + -18w = -32 + 0 -17 + -18w = -32 Add '17' to each side of the equation. -17 + 17 + -18w = -32 + 17 Combine like terms: -17 + 17 = 0 0 + -18w = -32 + 17 -18w = -32 + 17 Combine like terms: -32 + 17 = -15 -18w = -15 Divide each side by '-18'. w = 0.8333333333 Simplifying w = 0.8333333333
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