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Simplifying (5z + -3) + -1(3z + -8) = 0 Reorder the terms: (-3 + 5z) + -1(3z + -8) = 0 Remove parenthesis around (-3 + 5z) -3 + 5z + -1(3z + -8) = 0 Reorder the terms: -3 + 5z + -1(-8 + 3z) = 0 -3 + 5z + (-8 * -1 + 3z * -1) = 0 -3 + 5z + (8 + -3z) = 0 Reorder the terms: -3 + 8 + 5z + -3z = 0 Combine like terms: -3 + 8 = 5 5 + 5z + -3z = 0 Combine like terms: 5z + -3z = 2z 5 + 2z = 0 Solving 5 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 0 + -5 2z = 0 + -5 Combine like terms: 0 + -5 = -5 2z = -5 Divide each side by '2'. z = -2.5 Simplifying z = -2.5
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