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Simplifying 1.5n + 8 = 6.2n + 13 Reorder the terms: 8 + 1.5n = 6.2n + 13 Reorder the terms: 8 + 1.5n = 13 + 6.2n Solving 8 + 1.5n = 13 + 6.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.2n' to each side of the equation. 8 + 1.5n + -6.2n = 13 + 6.2n + -6.2n Combine like terms: 1.5n + -6.2n = -4.7n 8 + -4.7n = 13 + 6.2n + -6.2n Combine like terms: 6.2n + -6.2n = 0.0 8 + -4.7n = 13 + 0.0 8 + -4.7n = 13 Add '-8' to each side of the equation. 8 + -8 + -4.7n = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -4.7n = 13 + -8 -4.7n = 13 + -8 Combine like terms: 13 + -8 = 5 -4.7n = 5 Divide each side by '-4.7'. n = -1.063829787 Simplifying n = -1.063829787
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