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Simplifying 5z + 7 + -3z = 5 + z + 1 Reorder the terms: 7 + 5z + -3z = 5 + z + 1 Combine like terms: 5z + -3z = 2z 7 + 2z = 5 + z + 1 Reorder the terms: 7 + 2z = 5 + 1 + z Combine like terms: 5 + 1 = 6 7 + 2z = 6 + z Solving 7 + 2z = 6 + 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. 7 + 2z + -1z = 6 + z + -1z Combine like terms: 2z + -1z = 1z 7 + 1z = 6 + z + -1z Combine like terms: z + -1z = 0 7 + 1z = 6 + 0 7 + 1z = 6 Add '-7' to each side of the equation. 7 + -7 + 1z = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 6 + -7 1z = 6 + -7 Combine like terms: 6 + -7 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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