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Simplifying 6(3z + -8) = 17 + 9z Reorder the terms: 6(-8 + 3z) = 17 + 9z (-8 * 6 + 3z * 6) = 17 + 9z (-48 + 18z) = 17 + 9z Solving -48 + 18z = 17 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -48 + 18z + -9z = 17 + 9z + -9z Combine like terms: 18z + -9z = 9z -48 + 9z = 17 + 9z + -9z Combine like terms: 9z + -9z = 0 -48 + 9z = 17 + 0 -48 + 9z = 17 Add '48' to each side of the equation. -48 + 48 + 9z = 17 + 48 Combine like terms: -48 + 48 = 0 0 + 9z = 17 + 48 9z = 17 + 48 Combine like terms: 17 + 48 = 65 9z = 65 Divide each side by '9'. z = 7.222222222 Simplifying z = 7.222222222
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