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Simplifying -74 = 5w + 3w + -18 Reorder the terms: -74 = -18 + 5w + 3w Combine like terms: 5w + 3w = 8w -74 = -18 + 8w Solving -74 = -18 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -74 + -8w = -18 + 8w + -8w Combine like terms: 8w + -8w = 0 -74 + -8w = -18 + 0 -74 + -8w = -18 Add '74' to each side of the equation. -74 + 74 + -8w = -18 + 74 Combine like terms: -74 + 74 = 0 0 + -8w = -18 + 74 -8w = -18 + 74 Combine like terms: -18 + 74 = 56 -8w = 56 Divide each side by '-8'. w = -7 Simplifying w = -7
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