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Simplifying 4z + -74 = 3z + -43 Reorder the terms: -74 + 4z = 3z + -43 Reorder the terms: -74 + 4z = -43 + 3z Solving -74 + 4z = -43 + 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. -74 + 4z + -3z = -43 + 3z + -3z Combine like terms: 4z + -3z = 1z -74 + 1z = -43 + 3z + -3z Combine like terms: 3z + -3z = 0 -74 + 1z = -43 + 0 -74 + 1z = -43 Add '74' to each side of the equation. -74 + 74 + 1z = -43 + 74 Combine like terms: -74 + 74 = 0 0 + 1z = -43 + 74 1z = -43 + 74 Combine like terms: -43 + 74 = 31 1z = 31 Divide each side by '1'. z = 31 Simplifying z = 31
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