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Simplifying [6z + -1(17z + 7)] = 7 + (10z + 2) Reorder the terms: [6z + -1(7 + 17z)] = 7 + (10z + 2) [6z + (7 * -1 + 17z * -1)] = 7 + (10z + 2) [6z + (-7 + -17z)] = 7 + (10z + 2) Reorder the terms: [-7 + 6z + -17z] = 7 + (10z + 2) Combine like terms: 6z + -17z = -11z [-7 + -11z] = 7 + (10z + 2) Remove brackets around [-7 + -11z] -7 + -11z = 7 + (10z + 2) Reorder the terms: -7 + -11z = 7 + (2 + 10z) Remove parenthesis around (2 + 10z) -7 + -11z = 7 + 2 + 10z Combine like terms: 7 + 2 = 9 -7 + -11z = 9 + 10z Solving -7 + -11z = 9 + 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 + -11z + -10z = 9 + 10z + -10z Combine like terms: -11z + -10z = -21z -7 + -21z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 -7 + -21z = 9 + 0 -7 + -21z = 9 Add '7' to each side of the equation. -7 + 7 + -21z = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -21z = 9 + 7 -21z = 9 + 7 Combine like terms: 9 + 7 = 16 -21z = 16 Divide each side by '-21'. z = -0.7619047619 Simplifying z = -0.7619047619
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