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Simplifying 2(4 * 5z) + -1(4 + 5 + z) = 0 Multiply 4 * 5 2(20z) + -1(4 + 5 + z) = 0 Remove parenthesis around (20z) 2 * 20z + -1(4 + 5 + z) = 0 Multiply 2 * 20 40z + -1(4 + 5 + z) = 0 Combine like terms: 4 + 5 = 9 40z + -1(9 + z) = 0 40z + (9 * -1 + z * -1) = 0 40z + (-9 + -1z) = 0 Reorder the terms: -9 + 40z + -1z = 0 Combine like terms: 40z + -1z = 39z -9 + 39z = 0 Solving -9 + 39z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 39z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 39z = 0 + 9 39z = 0 + 9 Combine like terms: 0 + 9 = 9 39z = 9 Divide each side by '39'. z = 0.2307692308 Simplifying z = 0.2307692308
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