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Simplifying -7w + 39 = 8(w + 3) Reorder the terms: 39 + -7w = 8(w + 3) Reorder the terms: 39 + -7w = 8(3 + w) 39 + -7w = (3 * 8 + w * 8) 39 + -7w = (24 + 8w) Solving 39 + -7w = 24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 39 + -7w + -8w = 24 + 8w + -8w Combine like terms: -7w + -8w = -15w 39 + -15w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 39 + -15w = 24 + 0 39 + -15w = 24 Add '-39' to each side of the equation. 39 + -39 + -15w = 24 + -39 Combine like terms: 39 + -39 = 0 0 + -15w = 24 + -39 -15w = 24 + -39 Combine like terms: 24 + -39 = -15 -15w = -15 Divide each side by '-15'. w = 1 Simplifying w = 1
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