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Simplifying 5 + 0.10(10w) + 8w = -2 + 10w + 2 Remove parenthesis around (10w) 5 + 0.10 * 10w + 8w = -2 + 10w + 2 Multiply 0.10 * 10 5 + 1w + 8w = -2 + 10w + 2 Combine like terms: 1w + 8w = 9w 5 + 9w = -2 + 10w + 2 Reorder the terms: 5 + 9w = -2 + 2 + 10w Combine like terms: -2 + 2 = 0 5 + 9w = 0 + 10w 5 + 9w = 10w Solving 5 + 9w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 5 + 9w + -10w = 10w + -10w Combine like terms: 9w + -10w = -1w 5 + -1w = 10w + -10w Combine like terms: 10w + -10w = 0 5 + -1w = 0 Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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