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Simplifying 6 = -6(w + -7) Reorder the terms: 6 = -6(-7 + w) 6 = (-7 * -6 + w * -6) 6 = (42 + -6w) Solving 6 = 42 + -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. 6 + 6w = 42 + -6w + 6w Combine like terms: -6w + 6w = 0 6 + 6w = 42 + 0 6 + 6w = 42 Add '-6' to each side of the equation. 6 + -6 + 6w = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 42 + -6 6w = 42 + -6 Combine like terms: 42 + -6 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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