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Simplifying 5(z + -2) + -8z = -34 Reorder the terms: 5(-2 + z) + -8z = -34 (-2 * 5 + z * 5) + -8z = -34 (-10 + 5z) + -8z = -34 Combine like terms: 5z + -8z = -3z -10 + -3z = -34 Solving -10 + -3z = -34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3z = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = -34 + 10 -3z = -34 + 10 Combine like terms: -34 + 10 = -24 -3z = -24 Divide each side by '-3'. z = 8 Simplifying z = 8
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