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Simplifying -6(1 + -1w) = 14(w + -5) (1 * -6 + -1w * -6) = 14(w + -5) (-6 + 6w) = 14(w + -5) Reorder the terms: -6 + 6w = 14(-5 + w) -6 + 6w = (-5 * 14 + w * 14) -6 + 6w = (-70 + 14w) Solving -6 + 6w = -70 + 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. -6 + 6w + -14w = -70 + 14w + -14w Combine like terms: 6w + -14w = -8w -6 + -8w = -70 + 14w + -14w Combine like terms: 14w + -14w = 0 -6 + -8w = -70 + 0 -6 + -8w = -70 Add '6' to each side of the equation. -6 + 6 + -8w = -70 + 6 Combine like terms: -6 + 6 = 0 0 + -8w = -70 + 6 -8w = -70 + 6 Combine like terms: -70 + 6 = -64 -8w = -64 Divide each side by '-8'. w = 8 Simplifying w = 8
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