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Simplifying 4z + 6 = 3c + 5 + z + 3 + -1 Reorder the terms: 6 + 4z = 3c + 5 + z + 3 + -1 Reorder the terms: 6 + 4z = 5 + 3 + -1 + 3c + z Combine like terms: 5 + 3 = 8 6 + 4z = 8 + -1 + 3c + z Combine like terms: 8 + -1 = 7 6 + 4z = 7 + 3c + z Solving 6 + 4z = 7 + 3c + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + 4z + -1z = 7 + 3c + z + -1z Combine like terms: 4z + -1z = 3z 6 + 3z = 7 + 3c + z + -1z Combine like terms: z + -1z = 0 6 + 3z = 7 + 3c + 0 6 + 3z = 7 + 3c Add '-6' to each side of the equation. 6 + -6 + 3z = 7 + -6 + 3c Combine like terms: 6 + -6 = 0 0 + 3z = 7 + -6 + 3c 3z = 7 + -6 + 3c Combine like terms: 7 + -6 = 1 3z = 1 + 3c Divide each side by '3'. z = 0.3333333333 + c Simplifying z = 0.3333333333 + c
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