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Simplifying -13.59 + 2.2n = 7.6n + 7.5(1 + -1.1n) -13.59 + 2.2n = 7.6n + (1 * 7.5 + -1.1n * 7.5) -13.59 + 2.2n = 7.6n + (7.5 + -8.25n) Reorder the terms: -13.59 + 2.2n = 7.5 + 7.6n + -8.25n Combine like terms: 7.6n + -8.25n = -0.65n -13.59 + 2.2n = 7.5 + -0.65n Solving -13.59 + 2.2n = 7.5 + -0.65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.65n' to each side of the equation. -13.59 + 2.2n + 0.65n = 7.5 + -0.65n + 0.65n Combine like terms: 2.2n + 0.65n = 2.85n -13.59 + 2.85n = 7.5 + -0.65n + 0.65n Combine like terms: -0.65n + 0.65n = 0.00 -13.59 + 2.85n = 7.5 + 0.00 -13.59 + 2.85n = 7.5 Add '13.59' to each side of the equation. -13.59 + 13.59 + 2.85n = 7.5 + 13.59 Combine like terms: -13.59 + 13.59 = 0.00 0.00 + 2.85n = 7.5 + 13.59 2.85n = 7.5 + 13.59 Combine like terms: 7.5 + 13.59 = 21.09 2.85n = 21.09 Divide each side by '2.85'. n = 7.4 Simplifying n = 7.4
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