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Simplifying 5(2z + -7) = 6z + 1 Reorder the terms: 5(-7 + 2z) = 6z + 1 (-7 * 5 + 2z * 5) = 6z + 1 (-35 + 10z) = 6z + 1 Reorder the terms: -35 + 10z = 1 + 6z Solving -35 + 10z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -35 + 10z + -6z = 1 + 6z + -6z Combine like terms: 10z + -6z = 4z -35 + 4z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -35 + 4z = 1 + 0 -35 + 4z = 1 Add '35' to each side of the equation. -35 + 35 + 4z = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 4z = 1 + 35 4z = 1 + 35 Combine like terms: 1 + 35 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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