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Simplifying -6.4 + -6z + -6.9 + -3z = -8z + 1.3 Reorder the terms: -6.4 + -6.9 + -6z + -3z = -8z + 1.3 Combine like terms: -6.4 + -6.9 = -13.3 -13.3 + -6z + -3z = -8z + 1.3 Combine like terms: -6z + -3z = -9z -13.3 + -9z = -8z + 1.3 Reorder the terms: -13.3 + -9z = 1.3 + -8z Solving -13.3 + -9z = 1.3 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -13.3 + -9z + 8z = 1.3 + -8z + 8z Combine like terms: -9z + 8z = -1z -13.3 + -1z = 1.3 + -8z + 8z Combine like terms: -8z + 8z = 0 -13.3 + -1z = 1.3 + 0 -13.3 + -1z = 1.3 Add '13.3' to each side of the equation. -13.3 + 13.3 + -1z = 1.3 + 13.3 Combine like terms: -13.3 + 13.3 = 0.0 0.0 + -1z = 1.3 + 13.3 -1z = 1.3 + 13.3 Combine like terms: 1.3 + 13.3 = 14.6 -1z = 14.6 Divide each side by '-1'. z = -14.6 Simplifying z = -14.6
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