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Simplifying 3 + -5z + 1 = -3 + -6z Reorder the terms: 3 + 1 + -5z = -3 + -6z Combine like terms: 3 + 1 = 4 4 + -5z = -3 + -6z Solving 4 + -5z = -3 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 4 + -5z + 6z = -3 + -6z + 6z Combine like terms: -5z + 6z = 1z 4 + 1z = -3 + -6z + 6z Combine like terms: -6z + 6z = 0 4 + 1z = -3 + 0 4 + 1z = -3 Add '-4' to each side of the equation. 4 + -4 + 1z = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -3 + -4 1z = -3 + -4 Combine like terms: -3 + -4 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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