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Simplifying 6z + -61 = 4z + -33 Reorder the terms: -61 + 6z = 4z + -33 Reorder the terms: -61 + 6z = -33 + 4z Solving -61 + 6z = -33 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -61 + 6z + -4z = -33 + 4z + -4z Combine like terms: 6z + -4z = 2z -61 + 2z = -33 + 4z + -4z Combine like terms: 4z + -4z = 0 -61 + 2z = -33 + 0 -61 + 2z = -33 Add '61' to each side of the equation. -61 + 61 + 2z = -33 + 61 Combine like terms: -61 + 61 = 0 0 + 2z = -33 + 61 2z = -33 + 61 Combine like terms: -33 + 61 = 28 2z = 28 Divide each side by '2'. z = 14 Simplifying z = 14
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