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Simplifying 4(10z + 2) + -3(6z + 2) = 0 Reorder the terms: 4(2 + 10z) + -3(6z + 2) = 0 (2 * 4 + 10z * 4) + -3(6z + 2) = 0 (8 + 40z) + -3(6z + 2) = 0 Reorder the terms: 8 + 40z + -3(2 + 6z) = 0 8 + 40z + (2 * -3 + 6z * -3) = 0 8 + 40z + (-6 + -18z) = 0 Reorder the terms: 8 + -6 + 40z + -18z = 0 Combine like terms: 8 + -6 = 2 2 + 40z + -18z = 0 Combine like terms: 40z + -18z = 22z 2 + 22z = 0 Solving 2 + 22z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 22z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 22z = 0 + -2 22z = 0 + -2 Combine like terms: 0 + -2 = -2 22z = -2 Divide each side by '22'. z = -0.09090909091 Simplifying z = -0.09090909091
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