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Simplifying 14 + -7(5w + -8) = 0 Reorder the terms: 14 + -7(-8 + 5w) = 0 14 + (-8 * -7 + 5w * -7) = 0 14 + (56 + -35w) = 0 Combine like terms: 14 + 56 = 70 70 + -35w = 0 Solving 70 + -35w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -35w = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -35w = 0 + -70 -35w = 0 + -70 Combine like terms: 0 + -70 = -70 -35w = -70 Divide each side by '-35'. w = 2 Simplifying w = 2
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