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Simplifying 2(4) = 3(10) * z + 2 Multiply 2 * 4 8 = 3(10) * z + 2 Multiply 3 * 10 8 = 30z + 2 Reorder the terms: 8 = 2 + 30z Solving 8 = 2 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. 8 + -30z = 2 + 30z + -30z Combine like terms: 30z + -30z = 0 8 + -30z = 2 + 0 8 + -30z = 2 Add '-8' to each side of the equation. 8 + -8 + -30z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -30z = 2 + -8 -30z = 2 + -8 Combine like terms: 2 + -8 = -6 -30z = -6 Divide each side by '-30'. z = 0.2 Simplifying z = 0.2
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