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Simplifying -7 = 2(w + 5) Reorder the terms: -7 = 2(5 + w) -7 = (5 * 2 + w * 2) -7 = (10 + 2w) Solving -7 = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -7 + -2w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + -2w = 10 + 0 -7 + -2w = 10 Add '7' to each side of the equation. -7 + 7 + -2w = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 10 + 7 -2w = 10 + 7 Combine like terms: 10 + 7 = 17 -2w = 17 Divide each side by '-2'. w = -8.5 Simplifying w = -8.5
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