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Simplifying 4z + -1 = 7z + -11 Reorder the terms: -1 + 4z = 7z + -11 Reorder the terms: -1 + 4z = -11 + 7z Solving -1 + 4z = -11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -1 + 4z + -7z = -11 + 7z + -7z Combine like terms: 4z + -7z = -3z -1 + -3z = -11 + 7z + -7z Combine like terms: 7z + -7z = 0 -1 + -3z = -11 + 0 -1 + -3z = -11 Add '1' to each side of the equation. -1 + 1 + -3z = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = -11 + 1 -3z = -11 + 1 Combine like terms: -11 + 1 = -10 -3z = -10 Divide each side by '-3'. z = 3.333333333 Simplifying z = 3.333333333
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