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Simplifying 2 + -5(2z + -1) + -3z = 20 Reorder the terms: 2 + -5(-1 + 2z) + -3z = 20 2 + (-1 * -5 + 2z * -5) + -3z = 20 2 + (5 + -10z) + -3z = 20 Combine like terms: 2 + 5 = 7 7 + -10z + -3z = 20 Combine like terms: -10z + -3z = -13z 7 + -13z = 20 Solving 7 + -13z = 20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -13z = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -13z = 20 + -7 -13z = 20 + -7 Combine like terms: 20 + -7 = 13 -13z = 13 Divide each side by '-13'. z = -1 Simplifying z = -1
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