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Simplifying 6w + 3 + -2(-8w + -1) = 7(w + -1) Reorder the terms: 6w + 3 + -2(-1 + -8w) = 7(w + -1) 6w + 3 + (-1 * -2 + -8w * -2) = 7(w + -1) 6w + 3 + (2 + 16w) = 7(w + -1) Reorder the terms: 3 + 2 + 6w + 16w = 7(w + -1) Combine like terms: 3 + 2 = 5 5 + 6w + 16w = 7(w + -1) Combine like terms: 6w + 16w = 22w 5 + 22w = 7(w + -1) Reorder the terms: 5 + 22w = 7(-1 + w) 5 + 22w = (-1 * 7 + w * 7) 5 + 22w = (-7 + 7w) Solving 5 + 22w = -7 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 5 + 22w + -7w = -7 + 7w + -7w Combine like terms: 22w + -7w = 15w 5 + 15w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + 15w = -7 + 0 5 + 15w = -7 Add '-5' to each side of the equation. 5 + -5 + 15w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 15w = -7 + -5 15w = -7 + -5 Combine like terms: -7 + -5 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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