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Simplifying 150 + -1(2w + -9) = w Reorder the terms: 150 + -1(-9 + 2w) = w 150 + (-9 * -1 + 2w * -1) = w 150 + (9 + -2w) = w Combine like terms: 150 + 9 = 159 159 + -2w = w Solving 159 + -2w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 159 + -2w + -1w = w + -1w Combine like terms: -2w + -1w = -3w 159 + -3w = w + -1w Combine like terms: w + -1w = 0 159 + -3w = 0 Add '-159' to each side of the equation. 159 + -159 + -3w = 0 + -159 Combine like terms: 159 + -159 = 0 0 + -3w = 0 + -159 -3w = 0 + -159 Combine like terms: 0 + -159 = -159 -3w = -159 Divide each side by '-3'. w = 53 Simplifying w = 53
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