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Simplifying 7.0n + 13 + -4.3n = 13(n + -2) + -18 Reorder the terms: 13 + 7.0n + -4.3n = 13(n + -2) + -18 Combine like terms: 7.0n + -4.3n = 2.7n 13 + 2.7n = 13(n + -2) + -18 Reorder the terms: 13 + 2.7n = 13(-2 + n) + -18 13 + 2.7n = (-2 * 13 + n * 13) + -18 13 + 2.7n = (-26 + 13n) + -18 Reorder the terms: 13 + 2.7n = -26 + -18 + 13n Combine like terms: -26 + -18 = -44 13 + 2.7n = -44 + 13n Solving 13 + 2.7n = -44 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 13 + 2.7n + -13n = -44 + 13n + -13n Combine like terms: 2.7n + -13n = -10.3n 13 + -10.3n = -44 + 13n + -13n Combine like terms: 13n + -13n = 0 13 + -10.3n = -44 + 0 13 + -10.3n = -44 Add '-13' to each side of the equation. 13 + -13 + -10.3n = -44 + -13 Combine like terms: 13 + -13 = 0 0 + -10.3n = -44 + -13 -10.3n = -44 + -13 Combine like terms: -44 + -13 = -57 -10.3n = -57 Divide each side by '-10.3'. n = 5.533980583 Simplifying n = 5.533980583
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