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Simplifying 3z + -7 = z + 3 Reorder the terms: -7 + 3z = z + 3 Reorder the terms: -7 + 3z = 3 + z Solving -7 + 3z = 3 + 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 + 3z + -1z = 3 + z + -1z Combine like terms: 3z + -1z = 2z -7 + 2z = 3 + z + -1z Combine like terms: z + -1z = 0 -7 + 2z = 3 + 0 -7 + 2z = 3 Add '7' to each side of the equation. -7 + 7 + 2z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = 3 + 7 2z = 3 + 7 Combine like terms: 3 + 7 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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