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Simplifying (6w + 2) + -1(8w + -3) = 0 Reorder the terms: (2 + 6w) + -1(8w + -3) = 0 Remove parenthesis around (2 + 6w) 2 + 6w + -1(8w + -3) = 0 Reorder the terms: 2 + 6w + -1(-3 + 8w) = 0 2 + 6w + (-3 * -1 + 8w * -1) = 0 2 + 6w + (3 + -8w) = 0 Reorder the terms: 2 + 3 + 6w + -8w = 0 Combine like terms: 2 + 3 = 5 5 + 6w + -8w = 0 Combine like terms: 6w + -8w = -2w 5 + -2w = 0 Solving 5 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5
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