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Simplifying 5(2z + -4) + -7z = 34 Reorder the terms: 5(-4 + 2z) + -7z = 34 (-4 * 5 + 2z * 5) + -7z = 34 (-20 + 10z) + -7z = 34 Combine like terms: 10z + -7z = 3z -20 + 3z = 34 Solving -20 + 3z = 34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3z = 34 + 20 Combine like terms: -20 + 20 = 0 0 + 3z = 34 + 20 3z = 34 + 20 Combine like terms: 34 + 20 = 54 3z = 54 Divide each side by '3'. z = 18 Simplifying z = 18
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