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Simplifying 5z + 1 + -3z = 1 + z + -6 Reorder the terms: 1 + 5z + -3z = 1 + z + -6 Combine like terms: 5z + -3z = 2z 1 + 2z = 1 + z + -6 Reorder the terms: 1 + 2z = 1 + -6 + z Combine like terms: 1 + -6 = -5 1 + 2z = -5 + z Solving 1 + 2z = -5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 1 + 2z + -1z = -5 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = -5 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = -5 + 0 1 + 1z = -5 Add '-1' to each side of the equation. 1 + -1 + 1z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = -5 + -1 1z = -5 + -1 Combine like terms: -5 + -1 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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