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Simplifying 4z + 1.5 = 2z + -3 Reorder the terms: 1.5 + 4z = 2z + -3 Reorder the terms: 1.5 + 4z = -3 + 2z Solving 1.5 + 4z = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1.5 + 4z + -2z = -3 + 2z + -2z Combine like terms: 4z + -2z = 2z 1.5 + 2z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 1.5 + 2z = -3 + 0 1.5 + 2z = -3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2z = -3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2z = -3 + -1.5 2z = -3 + -1.5 Combine like terms: -3 + -1.5 = -4.5 2z = -4.5 Divide each side by '2'. z = -2.25 Simplifying z = -2.25
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