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Simplifying 4(w + 7) + -7w = 22 Reorder the terms: 4(7 + w) + -7w = 22 (7 * 4 + w * 4) + -7w = 22 (28 + 4w) + -7w = 22 Combine like terms: 4w + -7w = -3w 28 + -3w = 22 Solving 28 + -3w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3w = 22 + -28 Combine like terms: 28 + -28 = 0 0 + -3w = 22 + -28 -3w = 22 + -28 Combine like terms: 22 + -28 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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