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