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Simplifying 5w + -3 = 2w + -27 Reorder the terms: -3 + 5w = 2w + -27 Reorder the terms: -3 + 5w = -27 + 2w Solving -3 + 5w = -27 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -3 + 5w + -2w = -27 + 2w + -2w Combine like terms: 5w + -2w = 3w -3 + 3w = -27 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 3w = -27 + 0 -3 + 3w = -27 Add '3' to each side of the equation. -3 + 3 + 3w = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = -27 + 3 3w = -27 + 3 Combine like terms: -27 + 3 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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