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Simplifying -0.2z + -16.16 + 11z = 12.8z + 15.84 Reorder the terms: -16.16 + -0.2z + 11z = 12.8z + 15.84 Combine like terms: -0.2z + 11z = 10.8z -16.16 + 10.8z = 12.8z + 15.84 Reorder the terms: -16.16 + 10.8z = 15.84 + 12.8z Solving -16.16 + 10.8z = 15.84 + 12.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12.8z' to each side of the equation. -16.16 + 10.8z + -12.8z = 15.84 + 12.8z + -12.8z Combine like terms: 10.8z + -12.8z = -2z -16.16 + -2z = 15.84 + 12.8z + -12.8z Combine like terms: 12.8z + -12.8z = 0.0 -16.16 + -2z = 15.84 + 0.0 -16.16 + -2z = 15.84 Add '16.16' to each side of the equation. -16.16 + 16.16 + -2z = 15.84 + 16.16 Combine like terms: -16.16 + 16.16 = 0.00 0.00 + -2z = 15.84 + 16.16 -2z = 15.84 + 16.16 Combine like terms: 15.84 + 16.16 = 32 -2z = 32 Divide each side by '-2'. z = -16 Simplifying z = -16
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