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Simplifying 2w + -52 = 3w + -58 Reorder the terms: -52 + 2w = 3w + -58 Reorder the terms: -52 + 2w = -58 + 3w Solving -52 + 2w = -58 + 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. -52 + 2w + -3w = -58 + 3w + -3w Combine like terms: 2w + -3w = -1w -52 + -1w = -58 + 3w + -3w Combine like terms: 3w + -3w = 0 -52 + -1w = -58 + 0 -52 + -1w = -58 Add '52' to each side of the equation. -52 + 52 + -1w = -58 + 52 Combine like terms: -52 + 52 = 0 0 + -1w = -58 + 52 -1w = -58 + 52 Combine like terms: -58 + 52 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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