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Simplifying 5(w + 6) = -4(3w + -3) + 5w Reorder the terms: 5(6 + w) = -4(3w + -3) + 5w (6 * 5 + w * 5) = -4(3w + -3) + 5w (30 + 5w) = -4(3w + -3) + 5w Reorder the terms: 30 + 5w = -4(-3 + 3w) + 5w 30 + 5w = (-3 * -4 + 3w * -4) + 5w 30 + 5w = (12 + -12w) + 5w Combine like terms: -12w + 5w = -7w 30 + 5w = 12 + -7w Solving 30 + 5w = 12 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 30 + 5w + 7w = 12 + -7w + 7w Combine like terms: 5w + 7w = 12w 30 + 12w = 12 + -7w + 7w Combine like terms: -7w + 7w = 0 30 + 12w = 12 + 0 30 + 12w = 12 Add '-30' to each side of the equation. 30 + -30 + 12w = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 12w = 12 + -30 12w = 12 + -30 Combine like terms: 12 + -30 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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