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Simplifying 8z + 4 + -62 = 36 + -6z Reorder the terms: 4 + -62 + 8z = 36 + -6z Combine like terms: 4 + -62 = -58 -58 + 8z = 36 + -6z Solving -58 + 8z = 36 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -58 + 8z + 6z = 36 + -6z + 6z Combine like terms: 8z + 6z = 14z -58 + 14z = 36 + -6z + 6z Combine like terms: -6z + 6z = 0 -58 + 14z = 36 + 0 -58 + 14z = 36 Add '58' to each side of the equation. -58 + 58 + 14z = 36 + 58 Combine like terms: -58 + 58 = 0 0 + 14z = 36 + 58 14z = 36 + 58 Combine like terms: 36 + 58 = 94 14z = 94 Divide each side by '14'. z = 6.714285714 Simplifying z = 6.714285714
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