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Simplifying -2(6w + -6) + 6w = 8 + 2(3w + -7) Reorder the terms: -2(-6 + 6w) + 6w = 8 + 2(3w + -7) (-6 * -2 + 6w * -2) + 6w = 8 + 2(3w + -7) (12 + -12w) + 6w = 8 + 2(3w + -7) Combine like terms: -12w + 6w = -6w 12 + -6w = 8 + 2(3w + -7) Reorder the terms: 12 + -6w = 8 + 2(-7 + 3w) 12 + -6w = 8 + (-7 * 2 + 3w * 2) 12 + -6w = 8 + (-14 + 6w) Combine like terms: 8 + -14 = -6 12 + -6w = -6 + 6w Solving 12 + -6w = -6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12 + -6w + -6w = -6 + 6w + -6w Combine like terms: -6w + -6w = -12w 12 + -12w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -12w = -6 + 0 12 + -12w = -6 Add '-12' to each side of the equation. 12 + -12 + -12w = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -6 + -12 -12w = -6 + -12 Combine like terms: -6 + -12 = -18 -12w = -18 Divide each side by '-12'. w = 1.5 Simplifying w = 1.5
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