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Simplifying 3z + 5 = z + -2 Reorder the terms: 5 + 3z = z + -2 Reorder the terms: 5 + 3z = -2 + z Solving 5 + 3z = -2 + 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. 5 + 3z + -1z = -2 + z + -1z Combine like terms: 3z + -1z = 2z 5 + 2z = -2 + z + -1z Combine like terms: z + -1z = 0 5 + 2z = -2 + 0 5 + 2z = -2 Add '-5' to each side of the equation. 5 + -5 + 2z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = -2 + -5 2z = -2 + -5 Combine like terms: -2 + -5 = -7 2z = -7 Divide each side by '2'. z = -3.5 Simplifying z = -3.5
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