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Simplifying 3z + 18 = 6(z + 1) Reorder the terms: 18 + 3z = 6(z + 1) Reorder the terms: 18 + 3z = 6(1 + z) 18 + 3z = (1 * 6 + z * 6) 18 + 3z = (6 + 6z) Solving 18 + 3z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 18 + 3z + -6z = 6 + 6z + -6z Combine like terms: 3z + -6z = -3z 18 + -3z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 18 + -3z = 6 + 0 18 + -3z = 6 Add '-18' to each side of the equation. 18 + -18 + -3z = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -3z = 6 + -18 -3z = 6 + -18 Combine like terms: 6 + -18 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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