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Simplifying 15w + -12w + 3w + -3w + -1 = 2 Reorder the terms: -1 + 15w + -12w + 3w + -3w = 2 Combine like terms: 15w + -12w = 3w -1 + 3w + 3w + -3w = 2 Combine like terms: 3w + 3w = 6w -1 + 6w + -3w = 2 Combine like terms: 6w + -3w = 3w -1 + 3w = 2 Solving -1 + 3w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3w = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 3w = 2 + 1 3w = 2 + 1 Combine like terms: 2 + 1 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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