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Simplifying 14 + -4(w + -7) = 22 Reorder the terms: 14 + -4(-7 + w) = 22 14 + (-7 * -4 + w * -4) = 22 14 + (28 + -4w) = 22 Combine like terms: 14 + 28 = 42 42 + -4w = 22 Solving 42 + -4w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -4w = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -4w = 22 + -42 -4w = 22 + -42 Combine like terms: 22 + -42 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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