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Simplifying (4 + -8w) + -1(7w + 1) = 0 Remove parenthesis around (4 + -8w) 4 + -8w + -1(7w + 1) = 0 Reorder the terms: 4 + -8w + -1(1 + 7w) = 0 4 + -8w + (1 * -1 + 7w * -1) = 0 4 + -8w + (-1 + -7w) = 0 Reorder the terms: 4 + -1 + -8w + -7w = 0 Combine like terms: 4 + -1 = 3 3 + -8w + -7w = 0 Combine like terms: -8w + -7w = -15w 3 + -15w = 0 Solving 3 + -15w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -15w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -15w = 0 + -3 -15w = 0 + -3 Combine like terms: 0 + -3 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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