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Simplifying (w + -3) + -1(9w + 5) = 0 Reorder the terms: (-3 + w) + -1(9w + 5) = 0 Remove parenthesis around (-3 + w) -3 + w + -1(9w + 5) = 0 Reorder the terms: -3 + w + -1(5 + 9w) = 0 -3 + w + (5 * -1 + 9w * -1) = 0 -3 + w + (-5 + -9w) = 0 Reorder the terms: -3 + -5 + w + -9w = 0 Combine like terms: -3 + -5 = -8 -8 + w + -9w = 0 Combine like terms: w + -9w = -8w -8 + -8w = 0 Solving -8 + -8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 0 + 8 -8w = 0 + 8 Combine like terms: 0 + 8 = 8 -8w = 8 Divide each side by '-8'. w = -1 Simplifying w = -1
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