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Simplifying -19 + 0.7z = 10.45 + 10.2z + 14.25 Reorder the terms: -19 + 0.7z = 10.45 + 14.25 + 10.2z Combine like terms: 10.45 + 14.25 = 24.7 -19 + 0.7z = 24.7 + 10.2z Solving -19 + 0.7z = 24.7 + 10.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10.2z' to each side of the equation. -19 + 0.7z + -10.2z = 24.7 + 10.2z + -10.2z Combine like terms: 0.7z + -10.2z = -9.5z -19 + -9.5z = 24.7 + 10.2z + -10.2z Combine like terms: 10.2z + -10.2z = 0.0 -19 + -9.5z = 24.7 + 0.0 -19 + -9.5z = 24.7 Add '19' to each side of the equation. -19 + 19 + -9.5z = 24.7 + 19 Combine like terms: -19 + 19 = 0 0 + -9.5z = 24.7 + 19 -9.5z = 24.7 + 19 Combine like terms: 24.7 + 19 = 43.7 -9.5z = 43.7 Divide each side by '-9.5'. z = -4.6 Simplifying z = -4.6
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