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Simplifying 3z + 2(4z + -2) = 5(3 + -2) Reorder the terms: 3z + 2(-2 + 4z) = 5(3 + -2) 3z + (-2 * 2 + 4z * 2) = 5(3 + -2) 3z + (-4 + 8z) = 5(3 + -2) Reorder the terms: -4 + 3z + 8z = 5(3 + -2) Combine like terms: 3z + 8z = 11z -4 + 11z = 5(3 + -2) Combine like terms: 3 + -2 = 1 -4 + 11z = 5(1) Multiply 5 * 1 -4 + 11z = 5 Solving -4 + 11z = 5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11z = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 11z = 5 + 4 11z = 5 + 4 Combine like terms: 5 + 4 = 9 11z = 9 Divide each side by '11'. z = 0.8181818182 Simplifying z = 0.8181818182
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