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Simplifying 150 + (2w) = 195 + -1(1w) Remove parenthesis around (1w) 150 + (2w) = 195 + -1 * 1w Multiply -1 * 1 150 + (2w) = 195 + -1w Solving 150 + (2w) = 195 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 150 + (2w) + w = 195 + -1w + w Combine like terms: (2w) + w = 3w 150 + 3w = 195 + -1w + w Combine like terms: -1w + w = 0 150 + 3w = 195 + 0 150 + 3w = 195 Add '-150' to each side of the equation. 150 + -150 + 3w = 195 + -150 Combine like terms: 150 + -150 = 0 0 + 3w = 195 + -150 3w = 195 + -150 Combine like terms: 195 + -150 = 45 3w = 45 Divide each side by '3'. w = 15 Simplifying w = 15
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