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Simplifying -7z + -4 + 5(z + 1) = 4z + -1 Reorder the terms: -7z + -4 + 5(1 + z) = 4z + -1 -7z + -4 + (1 * 5 + z * 5) = 4z + -1 -7z + -4 + (5 + 5z) = 4z + -1 Reorder the terms: -4 + 5 + -7z + 5z = 4z + -1 Combine like terms: -4 + 5 = 1 1 + -7z + 5z = 4z + -1 Combine like terms: -7z + 5z = -2z 1 + -2z = 4z + -1 Reorder the terms: 1 + -2z = -1 + 4z Solving 1 + -2z = -1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + -2z + -4z = -1 + 4z + -4z Combine like terms: -2z + -4z = -6z 1 + -6z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -6z = -1 + 0 1 + -6z = -1 Add '-1' to each side of the equation. 1 + -1 + -6z = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -6z = -1 + -1 -6z = -1 + -1 Combine like terms: -1 + -1 = -2 -6z = -2 Divide each side by '-6'. z = 0.3333333333 Simplifying z = 0.3333333333
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