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Simplifying 5(2 + -1z) = 2(2z + -13) (2 * 5 + -1z * 5) = 2(2z + -13) (10 + -5z) = 2(2z + -13) Reorder the terms: 10 + -5z = 2(-13 + 2z) 10 + -5z = (-13 * 2 + 2z * 2) 10 + -5z = (-26 + 4z) Solving 10 + -5z = -26 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + -5z + -4z = -26 + 4z + -4z Combine like terms: -5z + -4z = -9z 10 + -9z = -26 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -9z = -26 + 0 10 + -9z = -26 Add '-10' to each side of the equation. 10 + -10 + -9z = -26 + -10 Combine like terms: 10 + -10 = 0 0 + -9z = -26 + -10 -9z = -26 + -10 Combine like terms: -26 + -10 = -36 -9z = -36 Divide each side by '-9'. z = 4 Simplifying z = 4
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