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Simplifying 2z + -3 = -6z + 1 Reorder the terms: -3 + 2z = -6z + 1 Reorder the terms: -3 + 2z = 1 + -6z Solving -3 + 2z = 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. -3 + 2z + 6z = 1 + -6z + 6z Combine like terms: 2z + 6z = 8z -3 + 8z = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 -3 + 8z = 1 + 0 -3 + 8z = 1 Add '3' to each side of the equation. -3 + 3 + 8z = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 8z = 1 + 3 8z = 1 + 3 Combine like terms: 1 + 3 = 4 8z = 4 Divide each side by '8'. z = 0.5 Simplifying z = 0.5
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