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Simplifying z + 1 = 1.5z + 4 Reorder the terms: 1 + z = 1.5z + 4 Reorder the terms: 1 + z = 4 + 1.5z Solving 1 + z = 4 + 1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5z' to each side of the equation. 1 + z + -1.5z = 4 + 1.5z + -1.5z Combine like terms: z + -1.5z = -0.5z 1 + -0.5z = 4 + 1.5z + -1.5z Combine like terms: 1.5z + -1.5z = 0.0 1 + -0.5z = 4 + 0.0 1 + -0.5z = 4 Add '-1' to each side of the equation. 1 + -1 + -0.5z = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5z = 4 + -1 -0.5z = 4 + -1 Combine like terms: 4 + -1 = 3 -0.5z = 3 Divide each side by '-0.5'. z = -6 Simplifying z = -6
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