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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 = 1w -20 + 1w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 1w = -6 + 0 -20 + 1w = -6 Add '20' to each side of the equation. -20 + 20 + 1w = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 1w = -6 + 20 1w = -6 + 20 Combine like terms: -6 + 20 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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