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Simplifying 3z + -1(5z + -7) = 2(z + 13) Reorder the terms: 3z + -1(-7 + 5z) = 2(z + 13) 3z + (-7 * -1 + 5z * -1) = 2(z + 13) 3z + (7 + -5z) = 2(z + 13) Reorder the terms: 7 + 3z + -5z = 2(z + 13) Combine like terms: 3z + -5z = -2z 7 + -2z = 2(z + 13) Reorder the terms: 7 + -2z = 2(13 + z) 7 + -2z = (13 * 2 + z * 2) 7 + -2z = (26 + 2z) Solving 7 + -2z = 26 + 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 = 26 + 2z + -2z Combine like terms: -2z + -2z = -4z 7 + -4z = 26 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + -4z = 26 + 0 7 + -4z = 26 Add '-7' to each side of the equation. 7 + -7 + -4z = 26 + -7 Combine like terms: 7 + -7 = 0 0 + -4z = 26 + -7 -4z = 26 + -7 Combine like terms: 26 + -7 = 19 -4z = 19 Divide each side by '-4'. z = -4.75 Simplifying z = -4.75
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