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Simplifying 4z + -1(2z + -5) = 3 + -4(2z + 3) Reorder the terms: 4z + -1(-5 + 2z) = 3 + -4(2z + 3) 4z + (-5 * -1 + 2z * -1) = 3 + -4(2z + 3) 4z + (5 + -2z) = 3 + -4(2z + 3) Reorder the terms: 5 + 4z + -2z = 3 + -4(2z + 3) Combine like terms: 4z + -2z = 2z 5 + 2z = 3 + -4(2z + 3) Reorder the terms: 5 + 2z = 3 + -4(3 + 2z) 5 + 2z = 3 + (3 * -4 + 2z * -4) 5 + 2z = 3 + (-12 + -8z) Combine like terms: 3 + -12 = -9 5 + 2z = -9 + -8z Solving 5 + 2z = -9 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 5 + 2z + 8z = -9 + -8z + 8z Combine like terms: 2z + 8z = 10z 5 + 10z = -9 + -8z + 8z Combine like terms: -8z + 8z = 0 5 + 10z = -9 + 0 5 + 10z = -9 Add '-5' to each side of the equation. 5 + -5 + 10z = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 10z = -9 + -5 10z = -9 + -5 Combine like terms: -9 + -5 = -14 10z = -14 Divide each side by '10'. z = -1.4 Simplifying z = -1.4
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