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Simplifying 12w + -79 = 176 + -3w Reorder the terms: -79 + 12w = 176 + -3w Solving -79 + 12w = 176 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -79 + 12w + 3w = 176 + -3w + 3w Combine like terms: 12w + 3w = 15w -79 + 15w = 176 + -3w + 3w Combine like terms: -3w + 3w = 0 -79 + 15w = 176 + 0 -79 + 15w = 176 Add '79' to each side of the equation. -79 + 79 + 15w = 176 + 79 Combine like terms: -79 + 79 = 0 0 + 15w = 176 + 79 15w = 176 + 79 Combine like terms: 176 + 79 = 255 15w = 255 Divide each side by '15'. w = 17 Simplifying w = 17
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