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Simplifying 12 + 3(3z + -1) = 17 + -2(z + -3) Reorder the terms: 12 + 3(-1 + 3z) = 17 + -2(z + -3) 12 + (-1 * 3 + 3z * 3) = 17 + -2(z + -3) 12 + (-3 + 9z) = 17 + -2(z + -3) Combine like terms: 12 + -3 = 9 9 + 9z = 17 + -2(z + -3) Reorder the terms: 9 + 9z = 17 + -2(-3 + z) 9 + 9z = 17 + (-3 * -2 + z * -2) 9 + 9z = 17 + (6 + -2z) Combine like terms: 17 + 6 = 23 9 + 9z = 23 + -2z Solving 9 + 9z = 23 + -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. 9 + 9z + 2z = 23 + -2z + 2z Combine like terms: 9z + 2z = 11z 9 + 11z = 23 + -2z + 2z Combine like terms: -2z + 2z = 0 9 + 11z = 23 + 0 9 + 11z = 23 Add '-9' to each side of the equation. 9 + -9 + 11z = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 11z = 23 + -9 11z = 23 + -9 Combine like terms: 23 + -9 = 14 11z = 14 Divide each side by '11'. z = 1.272727273 Simplifying z = 1.272727273
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