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Simplifying 5z + 10 + -1z = 4 + 3z + 1 Reorder the terms: 10 + 5z + -1z = 4 + 3z + 1 Combine like terms: 5z + -1z = 4z 10 + 4z = 4 + 3z + 1 Reorder the terms: 10 + 4z = 4 + 1 + 3z Combine like terms: 4 + 1 = 5 10 + 4z = 5 + 3z Solving 10 + 4z = 5 + 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. 10 + 4z + -3z = 5 + 3z + -3z Combine like terms: 4z + -3z = 1z 10 + 1z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + 1z = 5 + 0 10 + 1z = 5 Add '-10' to each side of the equation. 10 + -10 + 1z = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 5 + -10 1z = 5 + -10 Combine like terms: 5 + -10 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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