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Simplifying -7 + -1z = 5 + 5z Solving -7 + -1z = 5 + 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. -7 + -1z + -5z = 5 + 5z + -5z Combine like terms: -1z + -5z = -6z -7 + -6z = 5 + 5z + -5z Combine like terms: 5z + -5z = 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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