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Simplifying 7w + 5 = 2(4w + 3) Reorder the terms: 5 + 7w = 2(4w + 3) Reorder the terms: 5 + 7w = 2(3 + 4w) 5 + 7w = (3 * 2 + 4w * 2) 5 + 7w = (6 + 8w) Solving 5 + 7w = 6 + 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. 5 + 7w + -8w = 6 + 8w + -8w Combine like terms: 7w + -8w = -1w 5 + -1w = 6 + 8w + -8w Combine like terms: 8w + -8w = 0 5 + -1w = 6 + 0 5 + -1w = 6 Add '-5' to each side of the equation. 5 + -5 + -1w = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 6 + -5 -1w = 6 + -5 Combine like terms: 6 + -5 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1
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