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Simplifying 4(w + 8) = 7w + 23 Reorder the terms: 4(8 + w) = 7w + 23 (8 * 4 + w * 4) = 7w + 23 (32 + 4w) = 7w + 23 Reorder the terms: 32 + 4w = 23 + 7w Solving 32 + 4w = 23 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 32 + 4w + -7w = 23 + 7w + -7w Combine like terms: 4w + -7w = -3w 32 + -3w = 23 + 7w + -7w Combine like terms: 7w + -7w = 0 32 + -3w = 23 + 0 32 + -3w = 23 Add '-32' to each side of the equation. 32 + -32 + -3w = 23 + -32 Combine like terms: 32 + -32 = 0 0 + -3w = 23 + -32 -3w = 23 + -32 Combine like terms: 23 + -32 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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