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Simplifying 0 = 6 + 8(4w + -7) + -1(2w + 1) Reorder the terms: 0 = 6 + 8(-7 + 4w) + -1(2w + 1) 0 = 6 + (-7 * 8 + 4w * 8) + -1(2w + 1) 0 = 6 + (-56 + 32w) + -1(2w + 1) Reorder the terms: 0 = 6 + -56 + 32w + -1(1 + 2w) 0 = 6 + -56 + 32w + (1 * -1 + 2w * -1) 0 = 6 + -56 + 32w + (-1 + -2w) Reorder the terms: 0 = 6 + -56 + -1 + 32w + -2w Combine like terms: 6 + -56 = -50 0 = -50 + -1 + 32w + -2w Combine like terms: -50 + -1 = -51 0 = -51 + 32w + -2w Combine like terms: 32w + -2w = 30w 0 = -51 + 30w Solving 0 = -51 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 0 + -30w = -51 + 30w + -30w Remove the zero: -30w = -51 + 30w + -30w Combine like terms: 30w + -30w = 0 -30w = -51 + 0 -30w = -51 Divide each side by '-30'. w = 1.7 Simplifying w = 1.7
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