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Simplifying -7w + 4(w + -5) = -38 Reorder the terms: -7w + 4(-5 + w) = -38 -7w + (-5 * 4 + w * 4) = -38 -7w + (-20 + 4w) = -38 Reorder the terms: -20 + -7w + 4w = -38 Combine like terms: -7w + 4w = -3w -20 + -3w = -38 Solving -20 + -3w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3w = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = -38 + 20 -3w = -38 + 20 Combine like terms: -38 + 20 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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