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Simplifying -2(6w + -1) + 6w = 8 + 2(4w + -8) Reorder the terms: -2(-1 + 6w) + 6w = 8 + 2(4w + -8) (-1 * -2 + 6w * -2) + 6w = 8 + 2(4w + -8) (2 + -12w) + 6w = 8 + 2(4w + -8) Combine like terms: -12w + 6w = -6w 2 + -6w = 8 + 2(4w + -8) Reorder the terms: 2 + -6w = 8 + 2(-8 + 4w) 2 + -6w = 8 + (-8 * 2 + 4w * 2) 2 + -6w = 8 + (-16 + 8w) Combine like terms: 8 + -16 = -8 2 + -6w = -8 + 8w Solving 2 + -6w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 2 + -6w + -8w = -8 + 8w + -8w Combine like terms: -6w + -8w = -14w 2 + -14w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 2 + -14w = -8 + 0 2 + -14w = -8 Add '-2' to each side of the equation. 2 + -2 + -14w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -14w = -8 + -2 -14w = -8 + -2 Combine like terms: -8 + -2 = -10 -14w = -10 Divide each side by '-14'. w = 0.7142857143 Simplifying w = 0.7142857143
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