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Simplifying -1z + -5 + 5z + 1 = -3z + -3 Reorder the terms: -5 + 1 + -1z + 5z = -3z + -3 Combine like terms: -5 + 1 = -4 -4 + -1z + 5z = -3z + -3 Combine like terms: -1z + 5z = 4z -4 + 4z = -3z + -3 Reorder the terms: -4 + 4z = -3 + -3z Solving -4 + 4z = -3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -4 + 4z + 3z = -3 + -3z + 3z Combine like terms: 4z + 3z = 7z -4 + 7z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + 7z = -3 + 0 -4 + 7z = -3 Add '4' to each side of the equation. -4 + 4 + 7z = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 7z = -3 + 4 7z = -3 + 4 Combine like terms: -3 + 4 = 1 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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