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Simplifying 4w + 3(w + -7) = 21 Reorder the terms: 4w + 3(-7 + w) = 21 4w + (-7 * 3 + w * 3) = 21 4w + (-21 + 3w) = 21 Reorder the terms: -21 + 4w + 3w = 21 Combine like terms: 4w + 3w = 7w -21 + 7w = 21 Solving -21 + 7w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7w = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 7w = 21 + 21 7w = 21 + 21 Combine like terms: 21 + 21 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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