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Simplifying 2z + -5.1 = -24.6 + 5z Reorder the terms: -5.1 + 2z = -24.6 + 5z Solving -5.1 + 2z = -24.6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5.1 + 2z + -5z = -24.6 + 5z + -5z Combine like terms: 2z + -5z = -3z -5.1 + -3z = -24.6 + 5z + -5z Combine like terms: 5z + -5z = 0 -5.1 + -3z = -24.6 + 0 -5.1 + -3z = -24.6 Add '5.1' to each side of the equation. -5.1 + 5.1 + -3z = -24.6 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -3z = -24.6 + 5.1 -3z = -24.6 + 5.1 Combine like terms: -24.6 + 5.1 = -19.5 -3z = -19.5 Divide each side by '-3'. z = 6.5 Simplifying z = 6.5
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