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Simplifying 2(w + -8) = 9w + -23 Reorder the terms: 2(-8 + w) = 9w + -23 (-8 * 2 + w * 2) = 9w + -23 (-16 + 2w) = 9w + -23 Reorder the terms: -16 + 2w = -23 + 9w Solving -16 + 2w = -23 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -16 + 2w + -9w = -23 + 9w + -9w Combine like terms: 2w + -9w = -7w -16 + -7w = -23 + 9w + -9w Combine like terms: 9w + -9w = 0 -16 + -7w = -23 + 0 -16 + -7w = -23 Add '16' to each side of the equation. -16 + 16 + -7w = -23 + 16 Combine like terms: -16 + 16 = 0 0 + -7w = -23 + 16 -7w = -23 + 16 Combine like terms: -23 + 16 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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