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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 = -4w -4 + -4w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + -4w = -2 + 0 -4 + -4w = -2 Add '4' to each side of the equation. -4 + 4 + -4w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -4w = -2 + 4 -4w = -2 + 4 Combine like terms: -2 + 4 = 2 -4w = 2 Divide each side by '-4'. w = -0.5 Simplifying w = -0.5
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