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Simplifying 2w + -5 + 7w + -13 = 3(2w + 5) Reorder the terms: -5 + -13 + 2w + 7w = 3(2w + 5) Combine like terms: -5 + -13 = -18 -18 + 2w + 7w = 3(2w + 5) Combine like terms: 2w + 7w = 9w -18 + 9w = 3(2w + 5) Reorder the terms: -18 + 9w = 3(5 + 2w) -18 + 9w = (5 * 3 + 2w * 3) -18 + 9w = (15 + 6w) Solving -18 + 9w = 15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -18 + 9w + -6w = 15 + 6w + -6w Combine like terms: 9w + -6w = 3w -18 + 3w = 15 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + 3w = 15 + 0 -18 + 3w = 15 Add '18' to each side of the equation. -18 + 18 + 3w = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 3w = 15 + 18 3w = 15 + 18 Combine like terms: 15 + 18 = 33 3w = 33 Divide each side by '3'. w = 11 Simplifying w = 11
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