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Simplifying -6.3 + 4.9 = 8.2z + -2.4 Combine like terms: -6.3 + 4.9 = -1.4 -1.4 = 8.2z + -2.4 Reorder the terms: -1.4 = -2.4 + 8.2z Solving -1.4 = -2.4 + 8.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8.2z' to each side of the equation. -1.4 + -8.2z = -2.4 + 8.2z + -8.2z Combine like terms: 8.2z + -8.2z = 0.0 -1.4 + -8.2z = -2.4 + 0.0 -1.4 + -8.2z = -2.4 Add '1.4' to each side of the equation. -1.4 + 1.4 + -8.2z = -2.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -8.2z = -2.4 + 1.4 -8.2z = -2.4 + 1.4 Combine like terms: -2.4 + 1.4 = -1 -8.2z = -1 Divide each side by '-8.2'. z = 0.1219512195 Simplifying z = 0.1219512195
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