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Simplifying 0.7(n + 0.7) = 14(n + -0.4) Reorder the terms: 0.7(0.7 + n) = 14(n + -0.4) (0.7 * 0.7 + n * 0.7) = 14(n + -0.4) (0.49 + 0.7n) = 14(n + -0.4) Reorder the terms: 0.49 + 0.7n = 14(-0.4 + n) 0.49 + 0.7n = (-0.4 * 14 + n * 14) 0.49 + 0.7n = (-5.6 + 14n) Solving 0.49 + 0.7n = -5.6 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 0.49 + 0.7n + -14n = -5.6 + 14n + -14n Combine like terms: 0.7n + -14n = -13.3n 0.49 + -13.3n = -5.6 + 14n + -14n Combine like terms: 14n + -14n = 0 0.49 + -13.3n = -5.6 + 0 0.49 + -13.3n = -5.6 Add '-0.49' to each side of the equation. 0.49 + -0.49 + -13.3n = -5.6 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + -13.3n = -5.6 + -0.49 -13.3n = -5.6 + -0.49 Combine like terms: -5.6 + -0.49 = -6.09 -13.3n = -6.09 Divide each side by '-13.3'. n = 0.4578947368 Simplifying n = 0.4578947368
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