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Simplifying (7w + 6) + -1(10w + -2) = 0 Reorder the terms: (6 + 7w) + -1(10w + -2) = 0 Remove parenthesis around (6 + 7w) 6 + 7w + -1(10w + -2) = 0 Reorder the terms: 6 + 7w + -1(-2 + 10w) = 0 6 + 7w + (-2 * -1 + 10w * -1) = 0 6 + 7w + (2 + -10w) = 0 Reorder the terms: 6 + 2 + 7w + -10w = 0 Combine like terms: 6 + 2 = 8 8 + 7w + -10w = 0 Combine like terms: 7w + -10w = -3w 8 + -3w = 0 Solving 8 + -3w = 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 + -3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 0 + -8 -3w = 0 + -8 Combine like terms: 0 + -8 = -8 -3w = -8 Divide each side by '-3'. w = 2.666666667 Simplifying w = 2.666666667
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