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Simplifying 6.5 + -5z + -3.2 + -2z = 6z + 3.4 Reorder the terms: 6.5 + -3.2 + -5z + -2z = 6z + 3.4 Combine like terms: 6.5 + -3.2 = 3.3 3.3 + -5z + -2z = 6z + 3.4 Combine like terms: -5z + -2z = -7z 3.3 + -7z = 6z + 3.4 Reorder the terms: 3.3 + -7z = 3.4 + 6z Solving 3.3 + -7z = 3.4 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3.3 + -7z + -6z = 3.4 + 6z + -6z Combine like terms: -7z + -6z = -13z 3.3 + -13z = 3.4 + 6z + -6z Combine like terms: 6z + -6z = 0 3.3 + -13z = 3.4 + 0 3.3 + -13z = 3.4 Add '-3.3' to each side of the equation. 3.3 + -3.3 + -13z = 3.4 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + -13z = 3.4 + -3.3 -13z = 3.4 + -3.3 Combine like terms: 3.4 + -3.3 = 0.1 -13z = 0.1 Divide each side by '-13'. z = -0.007692307692 Simplifying z = -0.007692307692
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