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Simplifying -3 + -3(6n + -5) = 3(9n + -8) + 4 Reorder the terms: -3 + -3(-5 + 6n) = 3(9n + -8) + 4 -3 + (-5 * -3 + 6n * -3) = 3(9n + -8) + 4 -3 + (15 + -18n) = 3(9n + -8) + 4 Combine like terms: -3 + 15 = 12 12 + -18n = 3(9n + -8) + 4 Reorder the terms: 12 + -18n = 3(-8 + 9n) + 4 12 + -18n = (-8 * 3 + 9n * 3) + 4 12 + -18n = (-24 + 27n) + 4 Reorder the terms: 12 + -18n = -24 + 4 + 27n Combine like terms: -24 + 4 = -20 12 + -18n = -20 + 27n Solving 12 + -18n = -20 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 12 + -18n + -27n = -20 + 27n + -27n Combine like terms: -18n + -27n = -45n 12 + -45n = -20 + 27n + -27n Combine like terms: 27n + -27n = 0 12 + -45n = -20 + 0 12 + -45n = -20 Add '-12' to each side of the equation. 12 + -12 + -45n = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -45n = -20 + -12 -45n = -20 + -12 Combine like terms: -20 + -12 = -32 -45n = -32 Divide each side by '-45'. n = 0.7111111111 Simplifying n = 0.7111111111
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