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Simplifying -8.2 + -3z + -7.3 + -1z = 3z + -0.3 Reorder the terms: -8.2 + -7.3 + -3z + -1z = 3z + -0.3 Combine like terms: -8.2 + -7.3 = -15.5 -15.5 + -3z + -1z = 3z + -0.3 Combine like terms: -3z + -1z = -4z -15.5 + -4z = 3z + -0.3 Reorder the terms: -15.5 + -4z = -0.3 + 3z Solving -15.5 + -4z = -0.3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15.5 + -4z + -3z = -0.3 + 3z + -3z Combine like terms: -4z + -3z = -7z -15.5 + -7z = -0.3 + 3z + -3z Combine like terms: 3z + -3z = 0 -15.5 + -7z = -0.3 + 0 -15.5 + -7z = -0.3 Add '15.5' to each side of the equation. -15.5 + 15.5 + -7z = -0.3 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -7z = -0.3 + 15.5 -7z = -0.3 + 15.5 Combine like terms: -0.3 + 15.5 = 15.2 -7z = 15.2 Divide each side by '-7'. z = -2.171428571 Simplifying z = -2.171428571
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