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