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Simplifying 12 = 46 + -4(-2 + -3w) 12 = 46 + (-2 * -4 + -3w * -4) 12 = 46 + (8 + 12w) Combine like terms: 46 + 8 = 54 12 = 54 + 12w Solving 12 = 54 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 12 + -12w = 54 + 12w + -12w Combine like terms: 12w + -12w = 0 12 + -12w = 54 + 0 12 + -12w = 54 Add '-12' to each side of the equation. 12 + -12 + -12w = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = 54 + -12 -12w = 54 + -12 Combine like terms: 54 + -12 = 42 -12w = 42 Divide each side by '-12'. w = -3.5 Simplifying w = -3.5
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