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Simplifying [-6z + -1(9z + 10)] = 10 + (2z + 4) Reorder the terms: [-6z + -1(10 + 9z)] = 10 + (2z + 4) [-6z + (10 * -1 + 9z * -1)] = 10 + (2z + 4) [-6z + (-10 + -9z)] = 10 + (2z + 4) Reorder the terms: [-10 + -6z + -9z] = 10 + (2z + 4) Combine like terms: -6z + -9z = -15z [-10 + -15z] = 10 + (2z + 4) Remove brackets around [-10 + -15z] -10 + -15z = 10 + (2z + 4) Reorder the terms: -10 + -15z = 10 + (4 + 2z) Remove parenthesis around (4 + 2z) -10 + -15z = 10 + 4 + 2z Combine like terms: 10 + 4 = 14 -10 + -15z = 14 + 2z Solving -10 + -15z = 14 + 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. -10 + -15z + -2z = 14 + 2z + -2z Combine like terms: -15z + -2z = -17z -10 + -17z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -17z = 14 + 0 -10 + -17z = 14 Add '10' to each side of the equation. -10 + 10 + -17z = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -17z = 14 + 10 -17z = 14 + 10 Combine like terms: 14 + 10 = 24 -17z = 24 Divide each side by '-17'. z = -1.411764706 Simplifying z = -1.411764706
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