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Simplifying 5w + -4 = 11 + 8(w + 4) Reorder the terms: -4 + 5w = 11 + 8(w + 4) Reorder the terms: -4 + 5w = 11 + 8(4 + w) -4 + 5w = 11 + (4 * 8 + w * 8) -4 + 5w = 11 + (32 + 8w) Combine like terms: 11 + 32 = 43 -4 + 5w = 43 + 8w Solving -4 + 5w = 43 + 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. -4 + 5w + -8w = 43 + 8w + -8w Combine like terms: 5w + -8w = -3w -4 + -3w = 43 + 8w + -8w Combine like terms: 8w + -8w = 0 -4 + -3w = 43 + 0 -4 + -3w = 43 Add '4' to each side of the equation. -4 + 4 + -3w = 43 + 4 Combine like terms: -4 + 4 = 0 0 + -3w = 43 + 4 -3w = 43 + 4 Combine like terms: 43 + 4 = 47 -3w = 47 Divide each side by '-3'. w = -15.66666667 Simplifying w = -15.66666667
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