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