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Simplifying 3z + -1(5z + -7) = 2(z + -23) Reorder the terms: 3z + -1(-7 + 5z) = 2(z + -23) 3z + (-7 * -1 + 5z * -1) = 2(z + -23) 3z + (7 + -5z) = 2(z + -23) Reorder the terms: 7 + 3z + -5z = 2(z + -23) Combine like terms: 3z + -5z = -2z 7 + -2z = 2(z + -23) Reorder the terms: 7 + -2z = 2(-23 + z) 7 + -2z = (-23 * 2 + z * 2) 7 + -2z = (-46 + 2z) Solving 7 + -2z = -46 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + -2z + -2z = -46 + 2z + -2z Combine like terms: -2z + -2z = -4z 7 + -4z = -46 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + -4z = -46 + 0 7 + -4z = -46 Add '-7' to each side of the equation. 7 + -7 + -4z = -46 + -7 Combine like terms: 7 + -7 = 0 0 + -4z = -46 + -7 -4z = -46 + -7 Combine like terms: -46 + -7 = -53 -4z = -53 Divide each side by '-4'. z = 13.25 Simplifying z = 13.25
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