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Simplifying -1[3z + -1(14 + 1)] = 1 + (10z + 4) Combine like terms: 14 + 1 = 15 -1[3z + -1(15)] = 1 + (10z + 4) Multiply -1 * 15 -1[3z + -15] = 1 + (10z + 4) Reorder the terms: -1[-15 + 3z] = 1 + (10z + 4) [-15 * -1 + 3z * -1] = 1 + (10z + 4) [15 + -3z] = 1 + (10z + 4) Reorder the terms: 15 + -3z = 1 + (4 + 10z) Remove parenthesis around (4 + 10z) 15 + -3z = 1 + 4 + 10z Combine like terms: 1 + 4 = 5 15 + -3z = 5 + 10z Solving 15 + -3z = 5 + 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. 15 + -3z + -10z = 5 + 10z + -10z Combine like terms: -3z + -10z = -13z 15 + -13z = 5 + 10z + -10z Combine like terms: 10z + -10z = 0 15 + -13z = 5 + 0 15 + -13z = 5 Add '-15' to each side of the equation. 15 + -15 + -13z = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -13z = 5 + -15 -13z = 5 + -15 Combine like terms: 5 + -15 = -10 -13z = -10 Divide each side by '-13'. z = 0.7692307692 Simplifying z = 0.7692307692
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