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Simplifying 5(2 + -7) = 9w + -19 Combine like terms: 2 + -7 = -5 5(-5) = 9w + -19 Multiply 5 * -5 -25 = 9w + -19 Reorder the terms: -25 = -19 + 9w Solving -25 = -19 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -25 + -9w = -19 + 9w + -9w Combine like terms: 9w + -9w = 0 -25 + -9w = -19 + 0 -25 + -9w = -19 Add '25' to each side of the equation. -25 + 25 + -9w = -19 + 25 Combine like terms: -25 + 25 = 0 0 + -9w = -19 + 25 -9w = -19 + 25 Combine like terms: -19 + 25 = 6 -9w = 6 Divide each side by '-9'. w = -0.6666666667 Simplifying w = -0.6666666667
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