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Simplifying 5w + -11 = 4(2w + -5) Reorder the terms: -11 + 5w = 4(2w + -5) Reorder the terms: -11 + 5w = 4(-5 + 2w) -11 + 5w = (-5 * 4 + 2w * 4) -11 + 5w = (-20 + 8w) Solving -11 + 5w = -20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -11 + 5w + -8w = -20 + 8w + -8w Combine like terms: 5w + -8w = -3w -11 + -3w = -20 + 8w + -8w Combine like terms: 8w + -8w = 0 -11 + -3w = -20 + 0 -11 + -3w = -20 Add '11' to each side of the equation. -11 + 11 + -3w = -20 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = -20 + 11 -3w = -20 + 11 Combine like terms: -20 + 11 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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