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Simplifying 2w + -12 = 3w + -13 Reorder the terms: -12 + 2w = 3w + -13 Reorder the terms: -12 + 2w = -13 + 3w Solving -12 + 2w = -13 + 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. -12 + 2w + -3w = -13 + 3w + -3w Combine like terms: 2w + -3w = -1w -12 + -1w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + -1w = -13 + 0 -12 + -1w = -13 Add '12' to each side of the equation. -12 + 12 + -1w = -13 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -13 + 12 -1w = -13 + 12 Combine like terms: -13 + 12 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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