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Simplifying 37 = 42 + -2(-3 + -3w) 37 = 42 + (-3 * -2 + -3w * -2) 37 = 42 + (6 + 6w) Combine like terms: 42 + 6 = 48 37 = 48 + 6w Solving 37 = 48 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 37 + -6w = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 37 + -6w = 48 + 0 37 + -6w = 48 Add '-37' to each side of the equation. 37 + -37 + -6w = 48 + -37 Combine like terms: 37 + -37 = 0 0 + -6w = 48 + -37 -6w = 48 + -37 Combine like terms: 48 + -37 = 11 -6w = 11 Divide each side by '-6'. w = -1.833333333 Simplifying w = -1.833333333
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