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Simplifying 5w + -6w + -4 = -3w + -2 Reorder the terms: -4 + 5w + -6w = -3w + -2 Combine like terms: 5w + -6w = -1w -4 + -1w = -3w + -2 Reorder the terms: -4 + -1w = -2 + -3w Solving -4 + -1w = -2 + -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. -4 + -1w + 3w = -2 + -3w + 3w Combine like terms: -1w + 3w = 2w -4 + 2w = -2 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 2w = -2 + 0 -4 + 2w = -2 Add '4' to each side of the equation. -4 + 4 + 2w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = -2 + 4 2w = -2 + 4 Combine like terms: -2 + 4 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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