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Simplifying 7w + -6 + -2w + w + -12w + 4 = 0 Reorder the terms: -6 + 4 + 7w + -2w + w + -12w = 0 Combine like terms: -6 + 4 = -2 -2 + 7w + -2w + w + -12w = 0 Combine like terms: 7w + -2w = 5w -2 + 5w + w + -12w = 0 Combine like terms: 5w + w = 6w -2 + 6w + -12w = 0 Combine like terms: 6w + -12w = -6w -2 + -6w = 0 Solving -2 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -6w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6w = 0 + 2 -6w = 0 + 2 Combine like terms: 0 + 2 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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