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Simplifying 6 + 3(z + -2) = 6z + 1 Reorder the terms: 6 + 3(-2 + z) = 6z + 1 6 + (-2 * 3 + z * 3) = 6z + 1 6 + (-6 + 3z) = 6z + 1 Combine like terms: 6 + -6 = 0 0 + 3z = 6z + 1 3z = 6z + 1 Reorder the terms: 3z = 1 + 6z Solving 3z = 1 + 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. 3z + -6z = 1 + 6z + -6z Combine like terms: 3z + -6z = -3z -3z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -3z = 1 + 0 -3z = 1 Divide each side by '-3'. z = -0.3333333333 Simplifying z = -0.3333333333
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