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Simplifying 4z + -4.5 = 3.8z + -3.62 Reorder the terms: -4.5 + 4z = 3.8z + -3.62 Reorder the terms: -4.5 + 4z = -3.62 + 3.8z Solving -4.5 + 4z = -3.62 + 3.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.8z' to each side of the equation. -4.5 + 4z + -3.8z = -3.62 + 3.8z + -3.8z Combine like terms: 4z + -3.8z = 0.2z -4.5 + 0.2z = -3.62 + 3.8z + -3.8z Combine like terms: 3.8z + -3.8z = 0.0 -4.5 + 0.2z = -3.62 + 0.0 -4.5 + 0.2z = -3.62 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.2z = -3.62 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.2z = -3.62 + 4.5 0.2z = -3.62 + 4.5 Combine like terms: -3.62 + 4.5 = 0.88 0.2z = 0.88 Divide each side by '0.2'. z = 4.4 Simplifying z = 4.4
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