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Simplifying 31 = 4(w + -8) + 3w Reorder the terms: 31 = 4(-8 + w) + 3w 31 = (-8 * 4 + w * 4) + 3w 31 = (-32 + 4w) + 3w Combine like terms: 4w + 3w = 7w 31 = -32 + 7w Solving 31 = -32 + 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. 31 + -7w = -32 + 7w + -7w Combine like terms: 7w + -7w = 0 31 + -7w = -32 + 0 31 + -7w = -32 Add '-31' to each side of the equation. 31 + -31 + -7w = -32 + -31 Combine like terms: 31 + -31 = 0 0 + -7w = -32 + -31 -7w = -32 + -31 Combine like terms: -32 + -31 = -63 -7w = -63 Divide each side by '-7'. w = 9 Simplifying w = 9
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