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Simplifying -2(3w + -7) = 7(w + 2) Reorder the terms: -2(-7 + 3w) = 7(w + 2) (-7 * -2 + 3w * -2) = 7(w + 2) (14 + -6w) = 7(w + 2) Reorder the terms: 14 + -6w = 7(2 + w) 14 + -6w = (2 * 7 + w * 7) 14 + -6w = (14 + 7w) Add '-14' to each side of the equation. 14 + -14 + -6w = 14 + -14 + 7w Combine like terms: 14 + -14 = 0 0 + -6w = 14 + -14 + 7w -6w = 14 + -14 + 7w Combine like terms: 14 + -14 = 0 -6w = 0 + 7w -6w = 7w Solving -6w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -6w + -7w = 7w + -7w Combine like terms: -6w + -7w = -13w -13w = 7w + -7w Combine like terms: 7w + -7w = 0 -13w = 0 Divide each side by '-13'. w = 0 Simplifying w = 0
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