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Simplifying 7w + 4 = -6(w + 8) Reorder the terms: 4 + 7w = -6(w + 8) Reorder the terms: 4 + 7w = -6(8 + w) 4 + 7w = (8 * -6 + w * -6) 4 + 7w = (-48 + -6w) Solving 4 + 7w = -48 + -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. 4 + 7w + 6w = -48 + -6w + 6w Combine like terms: 7w + 6w = 13w 4 + 13w = -48 + -6w + 6w Combine like terms: -6w + 6w = 0 4 + 13w = -48 + 0 4 + 13w = -48 Add '-4' to each side of the equation. 4 + -4 + 13w = -48 + -4 Combine like terms: 4 + -4 = 0 0 + 13w = -48 + -4 13w = -48 + -4 Combine like terms: -48 + -4 = -52 13w = -52 Divide each side by '13'. w = -4 Simplifying w = -4
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