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Simplifying -19.89 + 11z = 10.78 + 10.25 + 15.4z Combine like terms: 10.78 + 10.25 = 21.03 -19.89 + 11z = 21.03 + 15.4z Solving -19.89 + 11z = 21.03 + 15.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15.4z' to each side of the equation. -19.89 + 11z + -15.4z = 21.03 + 15.4z + -15.4z Combine like terms: 11z + -15.4z = -4.4z -19.89 + -4.4z = 21.03 + 15.4z + -15.4z Combine like terms: 15.4z + -15.4z = 0.0 -19.89 + -4.4z = 21.03 + 0.0 -19.89 + -4.4z = 21.03 Add '19.89' to each side of the equation. -19.89 + 19.89 + -4.4z = 21.03 + 19.89 Combine like terms: -19.89 + 19.89 = 0.00 0.00 + -4.4z = 21.03 + 19.89 -4.4z = 21.03 + 19.89 Combine like terms: 21.03 + 19.89 = 40.92 -4.4z = 40.92 Divide each side by '-4.4'. z = -9.3 Simplifying z = -9.3
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