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Simplifying -8.2 + -3z + -7.3 + -7.3 + -1z = 3z + -0.3 Reorder the terms: -8.2 + -7.3 + -7.3 + -3z + -1z = 3z + -0.3 Combine like terms: -8.2 + -7.3 = -15.5 -15.5 + -7.3 + -3z + -1z = 3z + -0.3 Combine like terms: -15.5 + -7.3 = -22.8 -22.8 + -3z + -1z = 3z + -0.3 Combine like terms: -3z + -1z = -4z -22.8 + -4z = 3z + -0.3 Reorder the terms: -22.8 + -4z = -0.3 + 3z Solving -22.8 + -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. -22.8 + -4z + -3z = -0.3 + 3z + -3z Combine like terms: -4z + -3z = -7z -22.8 + -7z = -0.3 + 3z + -3z Combine like terms: 3z + -3z = 0 -22.8 + -7z = -0.3 + 0 -22.8 + -7z = -0.3 Add '22.8' to each side of the equation. -22.8 + 22.8 + -7z = -0.3 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + -7z = -0.3 + 22.8 -7z = -0.3 + 22.8 Combine like terms: -0.3 + 22.8 = 22.5 -7z = 22.5 Divide each side by '-7'. z = -3.214285714 Simplifying z = -3.214285714
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