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Simplifying n + 0.2n + 3.9 = 1.5(n + -1) Reorder the terms: 3.9 + n + 0.2n = 1.5(n + -1) Combine like terms: n + 0.2n = 1.2n 3.9 + 1.2n = 1.5(n + -1) Reorder the terms: 3.9 + 1.2n = 1.5(-1 + n) 3.9 + 1.2n = (-1 * 1.5 + n * 1.5) 3.9 + 1.2n = (-1.5 + 1.5n) Solving 3.9 + 1.2n = -1.5 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. 3.9 + 1.2n + -1.5n = -1.5 + 1.5n + -1.5n Combine like terms: 1.2n + -1.5n = -0.3n 3.9 + -0.3n = -1.5 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 3.9 + -0.3n = -1.5 + 0.0 3.9 + -0.3n = -1.5 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -0.3n = -1.5 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -0.3n = -1.5 + -3.9 -0.3n = -1.5 + -3.9 Combine like terms: -1.5 + -3.9 = -5.4 -0.3n = -5.4 Divide each side by '-0.3'. n = 18 Simplifying n = 18
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