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Simplifying 11w + 12w + -7 + 5 = -3w + 5 + -7 Reorder the terms: -7 + 5 + 11w + 12w = -3w + 5 + -7 Combine like terms: -7 + 5 = -2 -2 + 11w + 12w = -3w + 5 + -7 Combine like terms: 11w + 12w = 23w -2 + 23w = -3w + 5 + -7 Reorder the terms: -2 + 23w = 5 + -7 + -3w Combine like terms: 5 + -7 = -2 -2 + 23w = -2 + -3w Add '2' to each side of the equation. -2 + 2 + 23w = -2 + 2 + -3w Combine like terms: -2 + 2 = 0 0 + 23w = -2 + 2 + -3w 23w = -2 + 2 + -3w Combine like terms: -2 + 2 = 0 23w = 0 + -3w 23w = -3w Solving 23w = -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. 23w + 3w = -3w + 3w Combine like terms: 23w + 3w = 26w 26w = -3w + 3w Combine like terms: -3w + 3w = 0 26w = 0 Divide each side by '26'. w = 0 Simplifying w = 0
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