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Simplifying -15 = 2(2w + 9) + -1 Reorder the terms: -15 = 2(9 + 2w) + -1 -15 = (9 * 2 + 2w * 2) + -1 -15 = (18 + 4w) + -1 Reorder the terms: -15 = 18 + -1 + 4w Combine like terms: 18 + -1 = 17 -15 = 17 + 4w Solving -15 = 17 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -15 + -4w = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + -4w = 17 + 0 -15 + -4w = 17 Add '15' to each side of the equation. -15 + 15 + -4w = 17 + 15 Combine like terms: -15 + 15 = 0 0 + -4w = 17 + 15 -4w = 17 + 15 Combine like terms: 17 + 15 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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