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Simplifying 8(4w + 5) + 4 = 2(2w + 6) Reorder the terms: 8(5 + 4w) + 4 = 2(2w + 6) (5 * 8 + 4w * 8) + 4 = 2(2w + 6) (40 + 32w) + 4 = 2(2w + 6) Reorder the terms: 40 + 4 + 32w = 2(2w + 6) Combine like terms: 40 + 4 = 44 44 + 32w = 2(2w + 6) Reorder the terms: 44 + 32w = 2(6 + 2w) 44 + 32w = (6 * 2 + 2w * 2) 44 + 32w = (12 + 4w) Solving 44 + 32w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 44 + 32w + -4w = 12 + 4w + -4w Combine like terms: 32w + -4w = 28w 44 + 28w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 44 + 28w = 12 + 0 44 + 28w = 12 Add '-44' to each side of the equation. 44 + -44 + 28w = 12 + -44 Combine like terms: 44 + -44 = 0 0 + 28w = 12 + -44 28w = 12 + -44 Combine like terms: 12 + -44 = -32 28w = -32 Divide each side by '28'. w = -1.142857143 Simplifying w = -1.142857143
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