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Simplifying 10 + -1(2z + -9) = 5 + -3z Reorder the terms: 10 + -1(-9 + 2z) = 5 + -3z 10 + (-9 * -1 + 2z * -1) = 5 + -3z 10 + (9 + -2z) = 5 + -3z Combine like terms: 10 + 9 = 19 19 + -2z = 5 + -3z Solving 19 + -2z = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 19 + -2z + 3z = 5 + -3z + 3z Combine like terms: -2z + 3z = 1z 19 + 1z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 19 + 1z = 5 + 0 19 + 1z = 5 Add '-19' to each side of the equation. 19 + -19 + 1z = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 5 + -19 1z = 5 + -19 Combine like terms: 5 + -19 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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