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Simplifying 8w + 5 = 5 * -5 + 2w Reorder the terms: 5 + 8w = 5 * -5 + 2w Multiply 5 * -5 5 + 8w = -25 + 2w Solving 5 + 8w = -25 + 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. 5 + 8w + -2w = -25 + 2w + -2w Combine like terms: 8w + -2w = 6w 5 + 6w = -25 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + 6w = -25 + 0 5 + 6w = -25 Add '-5' to each side of the equation. 5 + -5 + 6w = -25 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = -25 + -5 6w = -25 + -5 Combine like terms: -25 + -5 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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