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Simplifying 5z + -74 = 3z + -66 Reorder the terms: -74 + 5z = 3z + -66 Reorder the terms: -74 + 5z = -66 + 3z Solving -74 + 5z = -66 + 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 + 5z + -3z = -66 + 3z + -3z Combine like terms: 5z + -3z = 2z -74 + 2z = -66 + 3z + -3z Combine like terms: 3z + -3z = 0 -74 + 2z = -66 + 0 -74 + 2z = -66 Add '74' to each side of the equation. -74 + 74 + 2z = -66 + 74 Combine like terms: -74 + 74 = 0 0 + 2z = -66 + 74 2z = -66 + 74 Combine like terms: -66 + 74 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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