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Simplifying 6z + -8 = -3z + 1 Reorder the terms: -8 + 6z = -3z + 1 Reorder the terms: -8 + 6z = 1 + -3z Solving -8 + 6z = 1 + -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. -8 + 6z + 3z = 1 + -3z + 3z Combine like terms: 6z + 3z = 9z -8 + 9z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 -8 + 9z = 1 + 0 -8 + 9z = 1 Add '8' to each side of the equation. -8 + 8 + 9z = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 9z = 1 + 8 9z = 1 + 8 Combine like terms: 1 + 8 = 9 9z = 9 Divide each side by '9'. z = 1 Simplifying z = 1
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