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Simplifying -6 = 3w + 4(w + -5) Reorder the terms: -6 = 3w + 4(-5 + w) -6 = 3w + (-5 * 4 + w * 4) -6 = 3w + (-20 + 4w) Reorder the terms: -6 = -20 + 3w + 4w Combine like terms: 3w + 4w = 7w -6 = -20 + 7w Solving -6 = -20 + 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. -6 + -7w = -20 + 7w + -7w Combine like terms: 7w + -7w = 0 -6 + -7w = -20 + 0 -6 + -7w = -20 Add '6' to each side of the equation. -6 + 6 + -7w = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = -20 + 6 -7w = -20 + 6 Combine like terms: -20 + 6 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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