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Simplifying 4 = 6(w + -8) + 7w Reorder the terms: 4 = 6(-8 + w) + 7w 4 = (-8 * 6 + w * 6) + 7w 4 = (-48 + 6w) + 7w Combine like terms: 6w + 7w = 13w 4 = -48 + 13w Solving 4 = -48 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 4 + -13w = -48 + 13w + -13w Combine like terms: 13w + -13w = 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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