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Simplifying 8z + 7 + -3(z + -6) = 3(z + -1) Reorder the terms: 8z + 7 + -3(-6 + z) = 3(z + -1) 8z + 7 + (-6 * -3 + z * -3) = 3(z + -1) 8z + 7 + (18 + -3z) = 3(z + -1) Reorder the terms: 7 + 18 + 8z + -3z = 3(z + -1) Combine like terms: 7 + 18 = 25 25 + 8z + -3z = 3(z + -1) Combine like terms: 8z + -3z = 5z 25 + 5z = 3(z + -1) Reorder the terms: 25 + 5z = 3(-1 + z) 25 + 5z = (-1 * 3 + z * 3) 25 + 5z = (-3 + 3z) Solving 25 + 5z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 25 + 5z + -3z = -3 + 3z + -3z Combine like terms: 5z + -3z = 2z 25 + 2z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 25 + 2z = -3 + 0 25 + 2z = -3 Add '-25' to each side of the equation. 25 + -25 + 2z = -3 + -25 Combine like terms: 25 + -25 = 0 0 + 2z = -3 + -25 2z = -3 + -25 Combine like terms: -3 + -25 = -28 2z = -28 Divide each side by '2'. z = -14 Simplifying z = -14
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