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Simplifying -5w + -11 = -2(w + 4) Reorder the terms: -11 + -5w = -2(w + 4) Reorder the terms: -11 + -5w = -2(4 + w) -11 + -5w = (4 * -2 + w * -2) -11 + -5w = (-8 + -2w) Solving -11 + -5w = -8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -11 + -5w + 2w = -8 + -2w + 2w Combine like terms: -5w + 2w = -3w -11 + -3w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 -11 + -3w = -8 + 0 -11 + -3w = -8 Add '11' to each side of the equation. -11 + 11 + -3w = -8 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = -8 + 11 -3w = -8 + 11 Combine like terms: -8 + 11 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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