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Simplifying 4 + -4(6z + 4) = 5(2z + 3) + 4 Reorder the terms: 4 + -4(4 + 6z) = 5(2z + 3) + 4 4 + (4 * -4 + 6z * -4) = 5(2z + 3) + 4 4 + (-16 + -24z) = 5(2z + 3) + 4 Combine like terms: 4 + -16 = -12 -12 + -24z = 5(2z + 3) + 4 Reorder the terms: -12 + -24z = 5(3 + 2z) + 4 -12 + -24z = (3 * 5 + 2z * 5) + 4 -12 + -24z = (15 + 10z) + 4 Reorder the terms: -12 + -24z = 15 + 4 + 10z Combine like terms: 15 + 4 = 19 -12 + -24z = 19 + 10z Solving -12 + -24z = 19 + 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. -12 + -24z + -10z = 19 + 10z + -10z Combine like terms: -24z + -10z = -34z -12 + -34z = 19 + 10z + -10z Combine like terms: 10z + -10z = 0 -12 + -34z = 19 + 0 -12 + -34z = 19 Add '12' to each side of the equation. -12 + 12 + -34z = 19 + 12 Combine like terms: -12 + 12 = 0 0 + -34z = 19 + 12 -34z = 19 + 12 Combine like terms: 19 + 12 = 31 -34z = 31 Divide each side by '-34'. z = -0.9117647059 Simplifying z = -0.9117647059
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