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Simplifying 5(2w + -4) = 6(w + 1) Reorder the terms: 5(-4 + 2w) = 6(w + 1) (-4 * 5 + 2w * 5) = 6(w + 1) (-20 + 10w) = 6(w + 1) Reorder the terms: -20 + 10w = 6(1 + w) -20 + 10w = (1 * 6 + w * 6) -20 + 10w = (6 + 6w) Solving -20 + 10w = 6 + 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. -20 + 10w + -6w = 6 + 6w + -6w Combine like terms: 10w + -6w = 4w -20 + 4w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -20 + 4w = 6 + 0 -20 + 4w = 6 Add '20' to each side of the equation. -20 + 20 + 4w = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 4w = 6 + 20 4w = 6 + 20 Combine like terms: 6 + 20 = 26 4w = 26 Divide each side by '4'. w = 6.5 Simplifying w = 6.5
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