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Simplifying 2z + 2.5 = 4z + -1.5 Reorder the terms: 2.5 + 2z = 4z + -1.5 Reorder the terms: 2.5 + 2z = -1.5 + 4z Solving 2.5 + 2z = -1.5 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2.5 + 2z + -4z = -1.5 + 4z + -4z Combine like terms: 2z + -4z = -2z 2.5 + -2z = -1.5 + 4z + -4z Combine like terms: 4z + -4z = 0 2.5 + -2z = -1.5 + 0 2.5 + -2z = -1.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2z = -1.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2z = -1.5 + -2.5 -2z = -1.5 + -2.5 Combine like terms: -1.5 + -2.5 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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