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Simplifying 4(w + 2) = -2(5w + -7) + 6w Reorder the terms: 4(2 + w) = -2(5w + -7) + 6w (2 * 4 + w * 4) = -2(5w + -7) + 6w (8 + 4w) = -2(5w + -7) + 6w Reorder the terms: 8 + 4w = -2(-7 + 5w) + 6w 8 + 4w = (-7 * -2 + 5w * -2) + 6w 8 + 4w = (14 + -10w) + 6w Combine like terms: -10w + 6w = -4w 8 + 4w = 14 + -4w Solving 8 + 4w = 14 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 8 + 4w + 4w = 14 + -4w + 4w Combine like terms: 4w + 4w = 8w 8 + 8w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 8w = 14 + 0 8 + 8w = 14 Add '-8' to each side of the equation. 8 + -8 + 8w = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 14 + -8 8w = 14 + -8 Combine like terms: 14 + -8 = 6 8w = 6 Divide each side by '8'. w = 0.75 Simplifying w = 0.75
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