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Simplifying 5.3 = 1.3z + -13 Reorder the terms: 5.3 = -13 + 1.3z Solving 5.3 = -13 + 1.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.3z' to each side of the equation. 5.3 + -1.3z = -13 + 1.3z + -1.3z Combine like terms: 1.3z + -1.3z = 0.0 5.3 + -1.3z = -13 + 0.0 5.3 + -1.3z = -13 Add '-5.3' to each side of the equation. 5.3 + -5.3 + -1.3z = -13 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + -1.3z = -13 + -5.3 -1.3z = -13 + -5.3 Combine like terms: -13 + -5.3 = -18.3 -1.3z = -18.3 Divide each side by '-1.3'. z = 14.07692308 Simplifying z = 14.07692308
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