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Simplifying 5 + -1(2 + -1z) = 3z + 5 5 + (2 * -1 + -1z * -1) = 3z + 5 5 + (-2 + 1z) = 3z + 5 Combine like terms: 5 + -2 = 3 3 + 1z = 3z + 5 Reorder the terms: 3 + 1z = 5 + 3z Solving 3 + 1z = 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. 3 + 1z + -3z = 5 + 3z + -3z Combine like terms: 1z + -3z = -2z 3 + -2z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -2z = 5 + 0 3 + -2z = 5 Add '-3' to each side of the equation. 3 + -3 + -2z = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 5 + -3 -2z = 5 + -3 Combine like terms: 5 + -3 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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