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Simplifying -4(w + -5) = 3w + 6 Reorder the terms: -4(-5 + w) = 3w + 6 (-5 * -4 + w * -4) = 3w + 6 (20 + -4w) = 3w + 6 Reorder the terms: 20 + -4w = 6 + 3w Solving 20 + -4w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 20 + -4w + -3w = 6 + 3w + -3w Combine like terms: -4w + -3w = -7w 20 + -7w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + -7w = 6 + 0 20 + -7w = 6 Add '-20' to each side of the equation. 20 + -20 + -7w = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -7w = 6 + -20 -7w = 6 + -20 Combine like terms: 6 + -20 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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