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Simplifying 5(z + 6) + -2 = 8z Reorder the terms: 5(6 + z) + -2 = 8z (6 * 5 + z * 5) + -2 = 8z (30 + 5z) + -2 = 8z Reorder the terms: 30 + -2 + 5z = 8z Combine like terms: 30 + -2 = 28 28 + 5z = 8z Solving 28 + 5z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 28 + 5z + -8z = 8z + -8z Combine like terms: 5z + -8z = -3z 28 + -3z = 8z + -8z Combine like terms: 8z + -8z = 0 28 + -3z = 0 Add '-28' to each side of the equation. 28 + -28 + -3z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3z = 0 + -28 -3z = 0 + -28 Combine like terms: 0 + -28 = -28 -3z = -28 Divide each side by '-3'. z = 9.333333333 Simplifying z = 9.333333333
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