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Simplifying 6w + -25 = -7(w + -2) Reorder the terms: -25 + 6w = -7(w + -2) Reorder the terms: -25 + 6w = -7(-2 + w) -25 + 6w = (-2 * -7 + w * -7) -25 + 6w = (14 + -7w) Solving -25 + 6w = 14 + -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. -25 + 6w + 7w = 14 + -7w + 7w Combine like terms: 6w + 7w = 13w -25 + 13w = 14 + -7w + 7w Combine like terms: -7w + 7w = 0 -25 + 13w = 14 + 0 -25 + 13w = 14 Add '25' to each side of the equation. -25 + 25 + 13w = 14 + 25 Combine like terms: -25 + 25 = 0 0 + 13w = 14 + 25 13w = 14 + 25 Combine like terms: 14 + 25 = 39 13w = 39 Divide each side by '13'. w = 3 Simplifying w = 3
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