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Simplifying -1z + 4.5 = 2z + 5.1 Reorder the terms: 4.5 + -1z = 2z + 5.1 Reorder the terms: 4.5 + -1z = 5.1 + 2z Solving 4.5 + -1z = 5.1 + 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. 4.5 + -1z + -2z = 5.1 + 2z + -2z Combine like terms: -1z + -2z = -3z 4.5 + -3z = 5.1 + 2z + -2z Combine like terms: 2z + -2z = 0 4.5 + -3z = 5.1 + 0 4.5 + -3z = 5.1 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -3z = 5.1 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -3z = 5.1 + -4.5 -3z = 5.1 + -4.5 Combine like terms: 5.1 + -4.5 = 0.6 -3z = 0.6 Divide each side by '-3'. z = -0.2 Simplifying z = -0.2
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