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