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Simplifying 6 = -7(-10w + -2) + 8w Reorder the terms: 6 = -7(-2 + -10w) + 8w 6 = (-2 * -7 + -10w * -7) + 8w 6 = (14 + 70w) + 8w Combine like terms: 70w + 8w = 78w 6 = 14 + 78w Solving 6 = 14 + 78w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-78w' to each side of the equation. 6 + -78w = 14 + 78w + -78w Combine like terms: 78w + -78w = 0 6 + -78w = 14 + 0 6 + -78w = 14 Add '-6' to each side of the equation. 6 + -6 + -78w = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -78w = 14 + -6 -78w = 14 + -6 Combine like terms: 14 + -6 = 8 -78w = 8 Divide each side by '-78'. w = -0.1025641026 Simplifying w = -0.1025641026
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