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Simplifying 2w + -5 = -7(w + -7) Reorder the terms: -5 + 2w = -7(w + -7) Reorder the terms: -5 + 2w = -7(-7 + w) -5 + 2w = (-7 * -7 + w * -7) -5 + 2w = (49 + -7w) Solving -5 + 2w = 49 + -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. -5 + 2w + 7w = 49 + -7w + 7w Combine like terms: 2w + 7w = 9w -5 + 9w = 49 + -7w + 7w Combine like terms: -7w + 7w = 0 -5 + 9w = 49 + 0 -5 + 9w = 49 Add '5' to each side of the equation. -5 + 5 + 9w = 49 + 5 Combine like terms: -5 + 5 = 0 0 + 9w = 49 + 5 9w = 49 + 5 Combine like terms: 49 + 5 = 54 9w = 54 Divide each side by '9'. w = 6 Simplifying w = 6
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