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Simplifying 5z + -1 + 7z = -11 + 14z Reorder the terms: -1 + 5z + 7z = -11 + 14z Combine like terms: 5z + 7z = 12z -1 + 12z = -11 + 14z Solving -1 + 12z = -11 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -1 + 12z + -14z = -11 + 14z + -14z Combine like terms: 12z + -14z = -2z -1 + -2z = -11 + 14z + -14z Combine like terms: 14z + -14z = 0 -1 + -2z = -11 + 0 -1 + -2z = -11 Add '1' to each side of the equation. -1 + 1 + -2z = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -2z = -11 + 1 -2z = -11 + 1 Combine like terms: -11 + 1 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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