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Simplifying w + -1 = 5w + 3w + -8 Reorder the terms: -1 + w = 5w + 3w + -8 Reorder the terms: -1 + w = -8 + 5w + 3w Combine like terms: 5w + 3w = 8w -1 + w = -8 + 8w Solving -1 + w = -8 + 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. -1 + w + -8w = -8 + 8w + -8w Combine like terms: w + -8w = -7w -1 + -7w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 -1 + -7w = -8 + 0 -1 + -7w = -8 Add '1' to each side of the equation. -1 + 1 + -7w = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7w = -8 + 1 -7w = -8 + 1 Combine like terms: -8 + 1 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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