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Simplifying 12w + 4 = 15w + -11 Reorder the terms: 4 + 12w = 15w + -11 Reorder the terms: 4 + 12w = -11 + 15w Solving 4 + 12w = -11 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 4 + 12w + -15w = -11 + 15w + -15w Combine like terms: 12w + -15w = -3w 4 + -3w = -11 + 15w + -15w Combine like terms: 15w + -15w = 0 4 + -3w = -11 + 0 4 + -3w = -11 Add '-4' to each side of the equation. 4 + -4 + -3w = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = -11 + -4 -3w = -11 + -4 Combine like terms: -11 + -4 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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