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Simplifying 3(2n + -5) = 11 + -0.65n Reorder the terms: 3(-5 + 2n) = 11 + -0.65n (-5 * 3 + 2n * 3) = 11 + -0.65n (-15 + 6n) = 11 + -0.65n Solving -15 + 6n = 11 + -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. -15 + 6n + 0.65n = 11 + -0.65n + 0.65n Combine like terms: 6n + 0.65n = 6.65n -15 + 6.65n = 11 + -0.65n + 0.65n Combine like terms: -0.65n + 0.65n = 0.00 -15 + 6.65n = 11 + 0.00 -15 + 6.65n = 11 Add '15' to each side of the equation. -15 + 15 + 6.65n = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 6.65n = 11 + 15 6.65n = 11 + 15 Combine like terms: 11 + 15 = 26 6.65n = 26 Divide each side by '6.65'. n = 3.909774436 Simplifying n = 3.909774436
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