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Simplifying 4w + -26 = -6(w + -4) Reorder the terms: -26 + 4w = -6(w + -4) Reorder the terms: -26 + 4w = -6(-4 + w) -26 + 4w = (-4 * -6 + w * -6) -26 + 4w = (24 + -6w) Solving -26 + 4w = 24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -26 + 4w + 6w = 24 + -6w + 6w Combine like terms: 4w + 6w = 10w -26 + 10w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 -26 + 10w = 24 + 0 -26 + 10w = 24 Add '26' to each side of the equation. -26 + 26 + 10w = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 10w = 24 + 26 10w = 24 + 26 Combine like terms: 24 + 26 = 50 10w = 50 Divide each side by '10'. w = 5 Simplifying w = 5
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