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Simplifying 4(w + -4) + -4 = -2(-2w + 5) + -6w Reorder the terms: 4(-4 + w) + -4 = -2(-2w + 5) + -6w (-4 * 4 + w * 4) + -4 = -2(-2w + 5) + -6w (-16 + 4w) + -4 = -2(-2w + 5) + -6w Reorder the terms: -16 + -4 + 4w = -2(-2w + 5) + -6w Combine like terms: -16 + -4 = -20 -20 + 4w = -2(-2w + 5) + -6w Reorder the terms: -20 + 4w = -2(5 + -2w) + -6w -20 + 4w = (5 * -2 + -2w * -2) + -6w -20 + 4w = (-10 + 4w) + -6w Combine like terms: 4w + -6w = -2w -20 + 4w = -10 + -2w Solving -20 + 4w = -10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -20 + 4w + 2w = -10 + -2w + 2w Combine like terms: 4w + 2w = 6w -20 + 6w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -20 + 6w = -10 + 0 -20 + 6w = -10 Add '20' to each side of the equation. -20 + 20 + 6w = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 6w = -10 + 20 6w = -10 + 20 Combine like terms: -10 + 20 = 10 6w = 10 Divide each side by '6'. w = 1.666666667 Simplifying w = 1.666666667
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