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Simplifying z + 5 = 3z + -5 Reorder the terms: 5 + z = 3z + -5 Reorder the terms: 5 + z = -5 + 3z Solving 5 + z = -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. 5 + z + -3z = -5 + 3z + -3z Combine like terms: z + -3z = -2z 5 + -2z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -2z = -5 + 0 5 + -2z = -5 Add '-5' to each side of the equation. 5 + -5 + -2z = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -5 + -5 -2z = -5 + -5 Combine like terms: -5 + -5 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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