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Simplifying 8w + 6 = -2(w + -7) Reorder the terms: 6 + 8w = -2(w + -7) Reorder the terms: 6 + 8w = -2(-7 + w) 6 + 8w = (-7 * -2 + w * -2) 6 + 8w = (14 + -2w) Solving 6 + 8w = 14 + -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. 6 + 8w + 2w = 14 + -2w + 2w Combine like terms: 8w + 2w = 10w 6 + 10w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 10w = 14 + 0 6 + 10w = 14 Add '-6' to each side of the equation. 6 + -6 + 10w = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 10w = 14 + -6 10w = 14 + -6 Combine like terms: 14 + -6 = 8 10w = 8 Divide each side by '10'. w = 0.8 Simplifying w = 0.8
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