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Simplifying 19 + -2(3w + -5) = 15 Reorder the terms: 19 + -2(-5 + 3w) = 15 19 + (-5 * -2 + 3w * -2) = 15 19 + (10 + -6w) = 15 Combine like terms: 19 + 10 = 29 29 + -6w = 15 Solving 29 + -6w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6w = 15 + -29 Combine like terms: 29 + -29 = 0 0 + -6w = 15 + -29 -6w = 15 + -29 Combine like terms: 15 + -29 = -14 -6w = -14 Divide each side by '-6'. w = 2.333333333 Simplifying w = 2.333333333
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