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Simplifying 48.99 + 0.99(n + -1) = 1.29 + 1.29(n + -1) Reorder the terms: 48.99 + 0.99(-1 + n) = 1.29 + 1.29(n + -1) 48.99 + (-1 * 0.99 + n * 0.99) = 1.29 + 1.29(n + -1) 48.99 + (-0.99 + 0.99n) = 1.29 + 1.29(n + -1) Combine like terms: 48.99 + -0.99 = 48 48 + 0.99n = 1.29 + 1.29(n + -1) Reorder the terms: 48 + 0.99n = 1.29 + 1.29(-1 + n) 48 + 0.99n = 1.29 + (-1 * 1.29 + n * 1.29) 48 + 0.99n = 1.29 + (-1.29 + 1.29n) Combine like terms: 1.29 + -1.29 = 0.00 48 + 0.99n = 0.00 + 1.29n 48 + 0.99n = 1.29n Solving 48 + 0.99n = 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. 48 + 0.99n + -1.29n = 1.29n + -1.29n Combine like terms: 0.99n + -1.29n = -0.3n 48 + -0.3n = 1.29n + -1.29n Combine like terms: 1.29n + -1.29n = 0.00 48 + -0.3n = 0.00 Add '-48' to each side of the equation. 48 + -48 + -0.3n = 0.00 + -48 Combine like terms: 48 + -48 = 0 0 + -0.3n = 0.00 + -48 -0.3n = 0.00 + -48 Combine like terms: 0.00 + -48 = -48 -0.3n = -48 Divide each side by '-0.3'. n = 160 Simplifying n = 160
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