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Simplifying (5w + -2) + -1(8w + 7) = 0 Reorder the terms: (-2 + 5w) + -1(8w + 7) = 0 Remove parenthesis around (-2 + 5w) -2 + 5w + -1(8w + 7) = 0 Reorder the terms: -2 + 5w + -1(7 + 8w) = 0 -2 + 5w + (7 * -1 + 8w * -1) = 0 -2 + 5w + (-7 + -8w) = 0 Reorder the terms: -2 + -7 + 5w + -8w = 0 Combine like terms: -2 + -7 = -9 -9 + 5w + -8w = 0 Combine like terms: 5w + -8w = -3w -9 + -3w = 0 Solving -9 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = 0 + 9 -3w = 0 + 9 Combine like terms: 0 + 9 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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