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Simplifying 8w + -3(4 + -2w) = 6(w + 1) + -2 8w + (4 * -3 + -2w * -3) = 6(w + 1) + -2 8w + (-12 + 6w) = 6(w + 1) + -2 Reorder the terms: -12 + 8w + 6w = 6(w + 1) + -2 Combine like terms: 8w + 6w = 14w -12 + 14w = 6(w + 1) + -2 Reorder the terms: -12 + 14w = 6(1 + w) + -2 -12 + 14w = (1 * 6 + w * 6) + -2 -12 + 14w = (6 + 6w) + -2 Reorder the terms: -12 + 14w = 6 + -2 + 6w Combine like terms: 6 + -2 = 4 -12 + 14w = 4 + 6w Solving -12 + 14w = 4 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -12 + 14w + -6w = 4 + 6w + -6w Combine like terms: 14w + -6w = 8w -12 + 8w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + 8w = 4 + 0 -12 + 8w = 4 Add '12' to each side of the equation. -12 + 12 + 8w = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 4 + 12 8w = 4 + 12 Combine like terms: 4 + 12 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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