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Simplifying 8z + -2(z + 9) = z + 10 Reorder the terms: 8z + -2(9 + z) = z + 10 8z + (9 * -2 + z * -2) = z + 10 8z + (-18 + -2z) = z + 10 Reorder the terms: -18 + 8z + -2z = z + 10 Combine like terms: 8z + -2z = 6z -18 + 6z = z + 10 Reorder the terms: -18 + 6z = 10 + z Solving -18 + 6z = 10 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -18 + 6z + -1z = 10 + z + -1z Combine like terms: 6z + -1z = 5z -18 + 5z = 10 + z + -1z Combine like terms: z + -1z = 0 -18 + 5z = 10 + 0 -18 + 5z = 10 Add '18' to each side of the equation. -18 + 18 + 5z = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 5z = 10 + 18 5z = 10 + 18 Combine like terms: 10 + 18 = 28 5z = 28 Divide each side by '5'. z = 5.6 Simplifying z = 5.6
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