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Simplifying 6(z + 8) = 69 + 3z Reorder the terms: 6(8 + z) = 69 + 3z (8 * 6 + z * 6) = 69 + 3z (48 + 6z) = 69 + 3z Solving 48 + 6z = 69 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 48 + 6z + -3z = 69 + 3z + -3z Combine like terms: 6z + -3z = 3z 48 + 3z = 69 + 3z + -3z Combine like terms: 3z + -3z = 0 48 + 3z = 69 + 0 48 + 3z = 69 Add '-48' to each side of the equation. 48 + -48 + 3z = 69 + -48 Combine like terms: 48 + -48 = 0 0 + 3z = 69 + -48 3z = 69 + -48 Combine like terms: 69 + -48 = 21 3z = 21 Divide each side by '3'. z = 7 Simplifying z = 7
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