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Simplifying z + 1 = 4 + 3z Reorder the terms: 1 + z = 4 + 3z Solving 1 + z = 4 + 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. 1 + z + -3z = 4 + 3z + -3z Combine like terms: z + -3z = -2z 1 + -2z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -2z = 4 + 0 1 + -2z = 4 Add '-1' to each side of the equation. 1 + -1 + -2z = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 4 + -1 -2z = 4 + -1 Combine like terms: 4 + -1 = 3 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5
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