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Simplifying 5 + 6z = 4z + -7 + 4z Reorder the terms: 5 + 6z = -7 + 4z + 4z Combine like terms: 4z + 4z = 8z 5 + 6z = -7 + 8z Solving 5 + 6z = -7 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 5 + 6z + -8z = -7 + 8z + -8z Combine like terms: 6z + -8z = -2z 5 + -2z = -7 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + -2z = -7 + 0 5 + -2z = -7 Add '-5' to each side of the equation. 5 + -5 + -2z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -7 + -5 -2z = -7 + -5 Combine like terms: -7 + -5 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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