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Simplifying -6z + 3 = -2z + 1 Reorder the terms: 3 + -6z = -2z + 1 Reorder the terms: 3 + -6z = 1 + -2z Solving 3 + -6z = 1 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 3 + -6z + 2z = 1 + -2z + 2z Combine like terms: -6z + 2z = -4z 3 + -4z = 1 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + -4z = 1 + 0 3 + -4z = 1 Add '-3' to each side of the equation. 3 + -3 + -4z = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -4z = 1 + -3 -4z = 1 + -3 Combine like terms: 1 + -3 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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