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Simplifying 7w + -11 = -6(w + 4) Reorder the terms: -11 + 7w = -6(w + 4) Reorder the terms: -11 + 7w = -6(4 + w) -11 + 7w = (4 * -6 + w * -6) -11 + 7w = (-24 + -6w) Solving -11 + 7w = -24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -11 + 7w + 6w = -24 + -6w + 6w Combine like terms: 7w + 6w = 13w -11 + 13w = -24 + -6w + 6w Combine like terms: -6w + 6w = 0 -11 + 13w = -24 + 0 -11 + 13w = -24 Add '11' to each side of the equation. -11 + 11 + 13w = -24 + 11 Combine like terms: -11 + 11 = 0 0 + 13w = -24 + 11 13w = -24 + 11 Combine like terms: -24 + 11 = -13 13w = -13 Divide each side by '13'. w = -1 Simplifying w = -1
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