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Simplifying -3(5z + 24) + 2 = 2(3 + -2z) + -4 Reorder the terms: -3(24 + 5z) + 2 = 2(3 + -2z) + -4 (24 * -3 + 5z * -3) + 2 = 2(3 + -2z) + -4 (-72 + -15z) + 2 = 2(3 + -2z) + -4 Reorder the terms: -72 + 2 + -15z = 2(3 + -2z) + -4 Combine like terms: -72 + 2 = -70 -70 + -15z = 2(3 + -2z) + -4 -70 + -15z = (3 * 2 + -2z * 2) + -4 -70 + -15z = (6 + -4z) + -4 Reorder the terms: -70 + -15z = 6 + -4 + -4z Combine like terms: 6 + -4 = 2 -70 + -15z = 2 + -4z Solving -70 + -15z = 2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -70 + -15z + 4z = 2 + -4z + 4z Combine like terms: -15z + 4z = -11z -70 + -11z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 -70 + -11z = 2 + 0 -70 + -11z = 2 Add '70' to each side of the equation. -70 + 70 + -11z = 2 + 70 Combine like terms: -70 + 70 = 0 0 + -11z = 2 + 70 -11z = 2 + 70 Combine like terms: 2 + 70 = 72 -11z = 72 Divide each side by '-11'. z = -6.545454545 Simplifying z = -6.545454545
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