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