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Simplifying 10.7z + -19.99 + -8.9z = 14.6z + 19.69 Reorder the terms: -19.99 + 10.7z + -8.9z = 14.6z + 19.69 Combine like terms: 10.7z + -8.9z = 1.8z -19.99 + 1.8z = 14.6z + 19.69 Reorder the terms: -19.99 + 1.8z = 19.69 + 14.6z Solving -19.99 + 1.8z = 19.69 + 14.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14.6z' to each side of the equation. -19.99 + 1.8z + -14.6z = 19.69 + 14.6z + -14.6z Combine like terms: 1.8z + -14.6z = -12.8z -19.99 + -12.8z = 19.69 + 14.6z + -14.6z Combine like terms: 14.6z + -14.6z = 0.0 -19.99 + -12.8z = 19.69 + 0.0 -19.99 + -12.8z = 19.69 Add '19.99' to each side of the equation. -19.99 + 19.99 + -12.8z = 19.69 + 19.99 Combine like terms: -19.99 + 19.99 = 0.00 0.00 + -12.8z = 19.69 + 19.99 -12.8z = 19.69 + 19.99 Combine like terms: 19.69 + 19.99 = 39.68 -12.8z = 39.68 Divide each side by '-12.8'. z = -3.1 Simplifying z = -3.1
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