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Simplifying 7(2z + -1) = 5(2z + 5) Reorder the terms: 7(-1 + 2z) = 5(2z + 5) (-1 * 7 + 2z * 7) = 5(2z + 5) (-7 + 14z) = 5(2z + 5) Reorder the terms: -7 + 14z = 5(5 + 2z) -7 + 14z = (5 * 5 + 2z * 5) -7 + 14z = (25 + 10z) Solving -7 + 14z = 25 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -7 + 14z + -10z = 25 + 10z + -10z Combine like terms: 14z + -10z = 4z -7 + 4z = 25 + 10z + -10z Combine like terms: 10z + -10z = 0 -7 + 4z = 25 + 0 -7 + 4z = 25 Add '7' to each side of the equation. -7 + 7 + 4z = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 25 + 7 4z = 25 + 7 Combine like terms: 25 + 7 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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