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Simplifying 6(z + -3) = 3(z + 1) + 3 Reorder the terms: 6(-3 + z) = 3(z + 1) + 3 (-3 * 6 + z * 6) = 3(z + 1) + 3 (-18 + 6z) = 3(z + 1) + 3 Reorder the terms: -18 + 6z = 3(1 + z) + 3 -18 + 6z = (1 * 3 + z * 3) + 3 -18 + 6z = (3 + 3z) + 3 Reorder the terms: -18 + 6z = 3 + 3 + 3z Combine like terms: 3 + 3 = 6 -18 + 6z = 6 + 3z Solving -18 + 6z = 6 + 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. -18 + 6z + -3z = 6 + 3z + -3z Combine like terms: 6z + -3z = 3z -18 + 3z = 6 + 3z + -3z Combine like terms: 3z + -3z = 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 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8
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