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Simplifying 2w + 6 = 13w + -4w + 62 Reorder the terms: 6 + 2w = 13w + -4w + 62 Reorder the terms: 6 + 2w = 62 + 13w + -4w Combine like terms: 13w + -4w = 9w 6 + 2w = 62 + 9w Solving 6 + 2w = 62 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 6 + 2w + -9w = 62 + 9w + -9w Combine like terms: 2w + -9w = -7w 6 + -7w = 62 + 9w + -9w Combine like terms: 9w + -9w = 0 6 + -7w = 62 + 0 6 + -7w = 62 Add '-6' to each side of the equation. 6 + -6 + -7w = 62 + -6 Combine like terms: 6 + -6 = 0 0 + -7w = 62 + -6 -7w = 62 + -6 Combine like terms: 62 + -6 = 56 -7w = 56 Divide each side by '-7'. w = -8 Simplifying w = -8
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