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Simplifying 5z + 2 = z + -1 Reorder the terms: 2 + 5z = z + -1 Reorder the terms: 2 + 5z = -1 + z Solving 2 + 5z = -1 + 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. 2 + 5z + -1z = -1 + z + -1z Combine like terms: 5z + -1z = 4z 2 + 4z = -1 + z + -1z Combine like terms: z + -1z = 0 2 + 4z = -1 + 0 2 + 4z = -1 Add '-2' to each side of the equation. 2 + -2 + 4z = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = -1 + -2 4z = -1 + -2 Combine like terms: -1 + -2 = -3 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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