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Simplifying -6(w + -2) + -1(7w + -8) = -14w Reorder the terms: -6(-2 + w) + -1(7w + -8) = -14w (-2 * -6 + w * -6) + -1(7w + -8) = -14w (12 + -6w) + -1(7w + -8) = -14w Reorder the terms: 12 + -6w + -1(-8 + 7w) = -14w 12 + -6w + (-8 * -1 + 7w * -1) = -14w 12 + -6w + (8 + -7w) = -14w Reorder the terms: 12 + 8 + -6w + -7w = -14w Combine like terms: 12 + 8 = 20 20 + -6w + -7w = -14w Combine like terms: -6w + -7w = -13w 20 + -13w = -14w Solving 20 + -13w = -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 20 + -13w + 14w = -14w + 14w Combine like terms: -13w + 14w = 1w 20 + 1w = -14w + 14w Combine like terms: -14w + 14w = 0 20 + 1w = 0 Add '-20' to each side of the equation. 20 + -20 + 1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 0 + -20 1w = 0 + -20 Combine like terms: 0 + -20 = -20 1w = -20 Divide each side by '1'. w = -20 Simplifying w = -20
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