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Simplifying 4 + -1(2z + -7) = 5(2z + 3) Reorder the terms: 4 + -1(-7 + 2z) = 5(2z + 3) 4 + (-7 * -1 + 2z * -1) = 5(2z + 3) 4 + (7 + -2z) = 5(2z + 3) Combine like terms: 4 + 7 = 11 11 + -2z = 5(2z + 3) Reorder the terms: 11 + -2z = 5(3 + 2z) 11 + -2z = (3 * 5 + 2z * 5) 11 + -2z = (15 + 10z) Solving 11 + -2z = 15 + 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. 11 + -2z + -10z = 15 + 10z + -10z Combine like terms: -2z + -10z = -12z 11 + -12z = 15 + 10z + -10z Combine like terms: 10z + -10z = 0 11 + -12z = 15 + 0 11 + -12z = 15 Add '-11' to each side of the equation. 11 + -11 + -12z = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -12z = 15 + -11 -12z = 15 + -11 Combine like terms: 15 + -11 = 4 -12z = 4 Divide each side by '-12'. z = -0.3333333333 Simplifying z = -0.3333333333
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