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Simplifying 4w + 9 = 7(w + 3) Reorder the terms: 9 + 4w = 7(w + 3) Reorder the terms: 9 + 4w = 7(3 + w) 9 + 4w = (3 * 7 + w * 7) 9 + 4w = (21 + 7w) Solving 9 + 4w = 21 + 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. 9 + 4w + -7w = 21 + 7w + -7w Combine like terms: 4w + -7w = -3w 9 + -3w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -3w = 21 + 0 9 + -3w = 21 Add '-9' to each side of the equation. 9 + -9 + -3w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 21 + -9 -3w = 21 + -9 Combine like terms: 21 + -9 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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