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Simplifying z + 17.98 + -8.8z = -12.3z + -4.62 Reorder the terms: 17.98 + z + -8.8z = -12.3z + -4.62 Combine like terms: z + -8.8z = -7.8z 17.98 + -7.8z = -12.3z + -4.62 Reorder the terms: 17.98 + -7.8z = -4.62 + -12.3z Solving 17.98 + -7.8z = -4.62 + -12.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12.3z' to each side of the equation. 17.98 + -7.8z + 12.3z = -4.62 + -12.3z + 12.3z Combine like terms: -7.8z + 12.3z = 4.5z 17.98 + 4.5z = -4.62 + -12.3z + 12.3z Combine like terms: -12.3z + 12.3z = 0.0 17.98 + 4.5z = -4.62 + 0.0 17.98 + 4.5z = -4.62 Add '-17.98' to each side of the equation. 17.98 + -17.98 + 4.5z = -4.62 + -17.98 Combine like terms: 17.98 + -17.98 = 0.00 0.00 + 4.5z = -4.62 + -17.98 4.5z = -4.62 + -17.98 Combine like terms: -4.62 + -17.98 = -22.6 4.5z = -22.6 Divide each side by '4.5'. z = -5.022222222 Simplifying z = -5.022222222
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