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Simplifying 0.7(n + 0.7) = 1.4(n + -0.4) Reorder the terms: 0.7(0.7 + n) = 1.4(n + -0.4) (0.7 * 0.7 + n * 0.7) = 1.4(n + -0.4) (0.49 + 0.7n) = 1.4(n + -0.4) Reorder the terms: 0.49 + 0.7n = 1.4(-0.4 + n) 0.49 + 0.7n = (-0.4 * 1.4 + n * 1.4) 0.49 + 0.7n = (-0.56 + 1.4n) Solving 0.49 + 0.7n = -0.56 + 1.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.4n' to each side of the equation. 0.49 + 0.7n + -1.4n = -0.56 + 1.4n + -1.4n Combine like terms: 0.7n + -1.4n = -0.7n 0.49 + -0.7n = -0.56 + 1.4n + -1.4n Combine like terms: 1.4n + -1.4n = 0.0 0.49 + -0.7n = -0.56 + 0.0 0.49 + -0.7n = -0.56 Add '-0.49' to each side of the equation. 0.49 + -0.49 + -0.7n = -0.56 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + -0.7n = -0.56 + -0.49 -0.7n = -0.56 + -0.49 Combine like terms: -0.56 + -0.49 = -1.05 -0.7n = -1.05 Divide each side by '-0.7'. n = 1.5 Simplifying n = 1.5
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