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Simplifying (-1w + 6) + -1(-9w + 10) = 0 Reorder the terms: (6 + -1w) + -1(-9w + 10) = 0 Remove parenthesis around (6 + -1w) 6 + -1w + -1(-9w + 10) = 0 Reorder the terms: 6 + -1w + -1(10 + -9w) = 0 6 + -1w + (10 * -1 + -9w * -1) = 0 6 + -1w + (-10 + 9w) = 0 Reorder the terms: 6 + -10 + -1w + 9w = 0 Combine like terms: 6 + -10 = -4 -4 + -1w + 9w = 0 Combine like terms: -1w + 9w = 8w -4 + 8w = 0 Solving -4 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8w = 0 + 4 8w = 0 + 4 Combine like terms: 0 + 4 = 4 8w = 4 Divide each side by '8'. w = 0.5 Simplifying w = 0.5
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