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Simplifying -9w + -25 = -7(w + 1) Reorder the terms: -25 + -9w = -7(w + 1) Reorder the terms: -25 + -9w = -7(1 + w) -25 + -9w = (1 * -7 + w * -7) -25 + -9w = (-7 + -7w) Solving -25 + -9w = -7 + -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 + -9w + 7w = -7 + -7w + 7w Combine like terms: -9w + 7w = -2w -25 + -2w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 -25 + -2w = -7 + 0 -25 + -2w = -7 Add '25' to each side of the equation. -25 + 25 + -2w = -7 + 25 Combine like terms: -25 + 25 = 0 0 + -2w = -7 + 25 -2w = -7 + 25 Combine like terms: -7 + 25 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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