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Simplifying 7(w + -8) = -5w + -4 Reorder the terms: 7(-8 + w) = -5w + -4 (-8 * 7 + w * 7) = -5w + -4 (-56 + 7w) = -5w + -4 Reorder the terms: -56 + 7w = -4 + -5w Solving -56 + 7w = -4 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -56 + 7w + 5w = -4 + -5w + 5w Combine like terms: 7w + 5w = 12w -56 + 12w = -4 + -5w + 5w Combine like terms: -5w + 5w = 0 -56 + 12w = -4 + 0 -56 + 12w = -4 Add '56' to each side of the equation. -56 + 56 + 12w = -4 + 56 Combine like terms: -56 + 56 = 0 0 + 12w = -4 + 56 12w = -4 + 56 Combine like terms: -4 + 56 = 52 12w = 52 Divide each side by '12'. w = 4.333333333 Simplifying w = 4.333333333
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