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Simplifying 6z + -18 + -4 + 21 = -12z + 24 + -14z Reorder the terms: -18 + -4 + 21 + 6z = -12z + 24 + -14z Combine like terms: -18 + -4 = -22 -22 + 21 + 6z = -12z + 24 + -14z Combine like terms: -22 + 21 = -1 -1 + 6z = -12z + 24 + -14z Reorder the terms: -1 + 6z = 24 + -12z + -14z Combine like terms: -12z + -14z = -26z -1 + 6z = 24 + -26z Solving -1 + 6z = 24 + -26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26z' to each side of the equation. -1 + 6z + 26z = 24 + -26z + 26z Combine like terms: 6z + 26z = 32z -1 + 32z = 24 + -26z + 26z Combine like terms: -26z + 26z = 0 -1 + 32z = 24 + 0 -1 + 32z = 24 Add '1' to each side of the equation. -1 + 1 + 32z = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 32z = 24 + 1 32z = 24 + 1 Combine like terms: 24 + 1 = 25 32z = 25 Divide each side by '32'. z = 0.78125 Simplifying z = 0.78125
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