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Simplifying 2(5z + -1) + -4(z + -3) = 0 Reorder the terms: 2(-1 + 5z) + -4(z + -3) = 0 (-1 * 2 + 5z * 2) + -4(z + -3) = 0 (-2 + 10z) + -4(z + -3) = 0 Reorder the terms: -2 + 10z + -4(-3 + z) = 0 -2 + 10z + (-3 * -4 + z * -4) = 0 -2 + 10z + (12 + -4z) = 0 Reorder the terms: -2 + 12 + 10z + -4z = 0 Combine like terms: -2 + 12 = 10 10 + 10z + -4z = 0 Combine like terms: 10z + -4z = 6z 10 + 6z = 0 Solving 10 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6z = 0 + -10 6z = 0 + -10 Combine like terms: 0 + -10 = -10 6z = -10 Divide each side by '6'. z = -1.666666667 Simplifying z = -1.666666667
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