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Simplifying 6z + -2 = z + 13 Reorder the terms: -2 + 6z = z + 13 Reorder the terms: -2 + 6z = 13 + z Solving -2 + 6z = 13 + 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. -2 + 6z + -1z = 13 + z + -1z Combine like terms: 6z + -1z = 5z -2 + 5z = 13 + z + -1z Combine like terms: z + -1z = 0 -2 + 5z = 13 + 0 -2 + 5z = 13 Add '2' to each side of the equation. -2 + 2 + 5z = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 13 + 2 5z = 13 + 2 Combine like terms: 13 + 2 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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