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Simplifying 6 + 3(z + -2) = -3z + 5 Reorder the terms: 6 + 3(-2 + z) = -3z + 5 6 + (-2 * 3 + z * 3) = -3z + 5 6 + (-6 + 3z) = -3z + 5 Combine like terms: 6 + -6 = 0 0 + 3z = -3z + 5 3z = -3z + 5 Reorder the terms: 3z = 5 + -3z Solving 3z = 5 + -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. 3z + 3z = 5 + -3z + 3z Combine like terms: 3z + 3z = 6z 6z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 6z = 5 + 0 6z = 5 Divide each side by '6'. z = 0.8333333333 Simplifying z = 0.8333333333
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