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Simplifying 6(z + 3) = 22 + 2z Reorder the terms: 6(3 + z) = 22 + 2z (3 * 6 + z * 6) = 22 + 2z (18 + 6z) = 22 + 2z Solving 18 + 6z = 22 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 18 + 6z + -2z = 22 + 2z + -2z Combine like terms: 6z + -2z = 4z 18 + 4z = 22 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + 4z = 22 + 0 18 + 4z = 22 Add '-18' to each side of the equation. 18 + -18 + 4z = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = 22 + -18 4z = 22 + -18 Combine like terms: 22 + -18 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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