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Simplifying [4z + -1(10z + 3)] = 3 + (5z + 6) Reorder the terms: [4z + -1(3 + 10z)] = 3 + (5z + 6) [4z + (3 * -1 + 10z * -1)] = 3 + (5z + 6) [4z + (-3 + -10z)] = 3 + (5z + 6) Reorder the terms: [-3 + 4z + -10z] = 3 + (5z + 6) Combine like terms: 4z + -10z = -6z [-3 + -6z] = 3 + (5z + 6) Remove brackets around [-3 + -6z] -3 + -6z = 3 + (5z + 6) Reorder the terms: -3 + -6z = 3 + (6 + 5z) Remove parenthesis around (6 + 5z) -3 + -6z = 3 + 6 + 5z Combine like terms: 3 + 6 = 9 -3 + -6z = 9 + 5z Solving -3 + -6z = 9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -3 + -6z + -5z = 9 + 5z + -5z Combine like terms: -6z + -5z = -11z -3 + -11z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + -11z = 9 + 0 -3 + -11z = 9 Add '3' to each side of the equation. -3 + 3 + -11z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -11z = 9 + 3 -11z = 9 + 3 Combine like terms: 9 + 3 = 12 -11z = 12 Divide each side by '-11'. z = -1.090909091 Simplifying z = -1.090909091
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