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Simplifying 18 + -5w = 7w + -30 Reorder the terms: 18 + -5w = -30 + 7w Solving 18 + -5w = -30 + 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. 18 + -5w + -7w = -30 + 7w + -7w Combine like terms: -5w + -7w = -12w 18 + -12w = -30 + 7w + -7w Combine like terms: 7w + -7w = 0 18 + -12w = -30 + 0 18 + -12w = -30 Add '-18' to each side of the equation. 18 + -18 + -12w = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = -30 + -18 -12w = -30 + -18 Combine like terms: -30 + -18 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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