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Simplifying 5z + 7 = -5 + -1z Reorder the terms: 7 + 5z = -5 + -1z Solving 7 + 5z = -5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 7 + 5z + z = -5 + -1z + z Combine like terms: 5z + z = 6z 7 + 6z = -5 + -1z + z Combine like terms: -1z + z = 0 7 + 6z = -5 + 0 7 + 6z = -5 Add '-7' to each side of the equation. 7 + -7 + 6z = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 6z = -5 + -7 6z = -5 + -7 Combine like terms: -5 + -7 = -12 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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