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Simplifying -6w + 12 = 2(3w + -4) Reorder the terms: 12 + -6w = 2(3w + -4) Reorder the terms: 12 + -6w = 2(-4 + 3w) 12 + -6w = (-4 * 2 + 3w * 2) 12 + -6w = (-8 + 6w) Solving 12 + -6w = -8 + 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 = -8 + 6w + -6w Combine like terms: -6w + -6w = -12w 12 + -12w = -8 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -12w = -8 + 0 12 + -12w = -8 Add '-12' to each side of the equation. 12 + -12 + -12w = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -8 + -12 -12w = -8 + -12 Combine like terms: -8 + -12 = -20 -12w = -20 Divide each side by '-12'. w = 1.666666667 Simplifying w = 1.666666667
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