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Simplifying 3z + 5 = 6z + -7 Reorder the terms: 5 + 3z = 6z + -7 Reorder the terms: 5 + 3z = -7 + 6z Solving 5 + 3z = -7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 5 + 3z + -6z = -7 + 6z + -6z Combine like terms: 3z + -6z = -3z 5 + -3z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 5 + -3z = -7 + 0 5 + -3z = -7 Add '-5' to each side of the equation. 5 + -5 + -3z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = -7 + -5 -3z = -7 + -5 Combine like terms: -7 + -5 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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