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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 Reorder the terms for easier multiplication: -70 + -15z = 2 * 4(3 + -2z) Multiply 2 * 4 -70 + -15z = 8(3 + -2z) -70 + -15z = (3 * 8 + -2z * 8) -70 + -15z = (24 + -16z) Solving -70 + -15z = 24 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -70 + -15z + 16z = 24 + -16z + 16z Combine like terms: -15z + 16z = 1z -70 + 1z = 24 + -16z + 16z Combine like terms: -16z + 16z = 0 -70 + 1z = 24 + 0 -70 + 1z = 24 Add '70' to each side of the equation. -70 + 70 + 1z = 24 + 70 Combine like terms: -70 + 70 = 0 0 + 1z = 24 + 70 1z = 24 + 70 Combine like terms: 24 + 70 = 94 1z = 94 Divide each side by '1'. z = 94 Simplifying z = 94
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