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Simplifying 5(2z + -1) = 3(3z + 7) Reorder the terms: 5(-1 + 2z) = 3(3z + 7) (-1 * 5 + 2z * 5) = 3(3z + 7) (-5 + 10z) = 3(3z + 7) Reorder the terms: -5 + 10z = 3(7 + 3z) -5 + 10z = (7 * 3 + 3z * 3) -5 + 10z = (21 + 9z) Solving -5 + 10z = 21 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -5 + 10z + -9z = 21 + 9z + -9z Combine like terms: 10z + -9z = 1z -5 + 1z = 21 + 9z + -9z Combine like terms: 9z + -9z = 0 -5 + 1z = 21 + 0 -5 + 1z = 21 Add '5' to each side of the equation. -5 + 5 + 1z = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 21 + 5 1z = 21 + 5 Combine like terms: 21 + 5 = 26 1z = 26 Divide each side by '1'. z = 26 Simplifying z = 26
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