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Simplifying 5(2w + 3) + -4w = 8w + 27 Reorder the terms: 5(3 + 2w) + -4w = 8w + 27 (3 * 5 + 2w * 5) + -4w = 8w + 27 (15 + 10w) + -4w = 8w + 27 Combine like terms: 10w + -4w = 6w 15 + 6w = 8w + 27 Reorder the terms: 15 + 6w = 27 + 8w Solving 15 + 6w = 27 + 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. 15 + 6w + -8w = 27 + 8w + -8w Combine like terms: 6w + -8w = -2w 15 + -2w = 27 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + -2w = 27 + 0 15 + -2w = 27 Add '-15' to each side of the equation. 15 + -15 + -2w = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 27 + -15 -2w = 27 + -15 Combine like terms: 27 + -15 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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