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Simplifying -4(w + -5) = -7w + 47 Reorder the terms: -4(-5 + w) = -7w + 47 (-5 * -4 + w * -4) = -7w + 47 (20 + -4w) = -7w + 47 Reorder the terms: 20 + -4w = 47 + -7w Solving 20 + -4w = 47 + -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. 20 + -4w + 7w = 47 + -7w + 7w Combine like terms: -4w + 7w = 3w 20 + 3w = 47 + -7w + 7w Combine like terms: -7w + 7w = 0 20 + 3w = 47 + 0 20 + 3w = 47 Add '-20' to each side of the equation. 20 + -20 + 3w = 47 + -20 Combine like terms: 20 + -20 = 0 0 + 3w = 47 + -20 3w = 47 + -20 Combine like terms: 47 + -20 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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