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