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Simplifying 6z + -7 = 3z + 8 Reorder the terms: -7 + 6z = 3z + 8 Reorder the terms: -7 + 6z = 8 + 3z Solving -7 + 6z = 8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -7 + 6z + -3z = 8 + 3z + -3z Combine like terms: 6z + -3z = 3z -7 + 3z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 3z = 8 + 0 -7 + 3z = 8 Add '7' to each side of the equation. -7 + 7 + 3z = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 8 + 7 3z = 8 + 7 Combine like terms: 8 + 7 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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