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Simplifying -4(2w + -2) + w = 7(w + 2) Reorder the terms: -4(-2 + 2w) + w = 7(w + 2) (-2 * -4 + 2w * -4) + w = 7(w + 2) (8 + -8w) + w = 7(w + 2) Combine like terms: -8w + w = -7w 8 + -7w = 7(w + 2) Reorder the terms: 8 + -7w = 7(2 + w) 8 + -7w = (2 * 7 + w * 7) 8 + -7w = (14 + 7w) Solving 8 + -7w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 8 + -7w + -7w = 14 + 7w + -7w Combine like terms: -7w + -7w = -14w 8 + -14w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -14w = 14 + 0 8 + -14w = 14 Add '-8' to each side of the equation. 8 + -8 + -14w = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -14w = 14 + -8 -14w = 14 + -8 Combine like terms: 14 + -8 = 6 -14w = 6 Divide each side by '-14'. w = -0.4285714286 Simplifying w = -0.4285714286
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