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Simplifying 101 + 3z = 1 + -17z Solving 101 + 3z = 1 + -17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17z' to each side of the equation. 101 + 3z + 17z = 1 + -17z + 17z Combine like terms: 3z + 17z = 20z 101 + 20z = 1 + -17z + 17z Combine like terms: -17z + 17z = 0 101 + 20z = 1 + 0 101 + 20z = 1 Add '-101' to each side of the equation. 101 + -101 + 20z = 1 + -101 Combine like terms: 101 + -101 = 0 0 + 20z = 1 + -101 20z = 1 + -101 Combine like terms: 1 + -101 = -100 20z = -100 Divide each side by '20'. z = -5 Simplifying z = -5
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