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Simplifying n + -1.4n + -1 = 6(n + -2.3) Reorder the terms: -1 + n + -1.4n = 6(n + -2.3) Combine like terms: n + -1.4n = -0.4n -1 + -0.4n = 6(n + -2.3) Reorder the terms: -1 + -0.4n = 6(-2.3 + n) -1 + -0.4n = (-2.3 * 6 + n * 6) -1 + -0.4n = (-13.8 + 6n) Solving -1 + -0.4n = -13.8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -1 + -0.4n + -6n = -13.8 + 6n + -6n Combine like terms: -0.4n + -6n = -6.4n -1 + -6.4n = -13.8 + 6n + -6n Combine like terms: 6n + -6n = 0 -1 + -6.4n = -13.8 + 0 -1 + -6.4n = -13.8 Add '1' to each side of the equation. -1 + 1 + -6.4n = -13.8 + 1 Combine like terms: -1 + 1 = 0 0 + -6.4n = -13.8 + 1 -6.4n = -13.8 + 1 Combine like terms: -13.8 + 1 = -12.8 -6.4n = -12.8 Divide each side by '-6.4'. n = 2 Simplifying n = 2
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