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Simplifying 48.99 + 99(n + -1) = 1.29 + 1.29(n + -1) Reorder the terms: 48.99 + 99(-1 + n) = 1.29 + 1.29(n + -1) 48.99 + (-1 * 99 + n * 99) = 1.29 + 1.29(n + -1) 48.99 + (-99 + 99n) = 1.29 + 1.29(n + -1) Combine like terms: 48.99 + -99 = -50.01 -50.01 + 99n = 1.29 + 1.29(n + -1) Reorder the terms: -50.01 + 99n = 1.29 + 1.29(-1 + n) -50.01 + 99n = 1.29 + (-1 * 1.29 + n * 1.29) -50.01 + 99n = 1.29 + (-1.29 + 1.29n) Combine like terms: 1.29 + -1.29 = 0.00 -50.01 + 99n = 0.00 + 1.29n -50.01 + 99n = 1.29n Solving -50.01 + 99n = 1.29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.29n' to each side of the equation. -50.01 + 99n + -1.29n = 1.29n + -1.29n Combine like terms: 99n + -1.29n = 97.71n -50.01 + 97.71n = 1.29n + -1.29n Combine like terms: 1.29n + -1.29n = 0.00 -50.01 + 97.71n = 0.00 Add '50.01' to each side of the equation. -50.01 + 50.01 + 97.71n = 0.00 + 50.01 Combine like terms: -50.01 + 50.01 = 0.00 0.00 + 97.71n = 0.00 + 50.01 97.71n = 0.00 + 50.01 Combine like terms: 0.00 + 50.01 = 50.01 97.71n = 50.01 Divide each side by '97.71'. n = 0.5118206939 Simplifying n = 0.5118206939
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