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Simplifying 5w + -11 = 8(w + -4) Reorder the terms: -11 + 5w = 8(w + -4) Reorder the terms: -11 + 5w = 8(-4 + w) -11 + 5w = (-4 * 8 + w * 8) -11 + 5w = (-32 + 8w) Solving -11 + 5w = -32 + 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 = -32 + 8w + -8w Combine like terms: 5w + -8w = -3w -11 + -3w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 -11 + -3w = -32 + 0 -11 + -3w = -32 Add '11' to each side of the equation. -11 + 11 + -3w = -32 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = -32 + 11 -3w = -32 + 11 Combine like terms: -32 + 11 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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