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Simplifying 2n + -3(4n + -3) = 6(n + -3) + -1 Reorder the terms: 2n + -3(-3 + 4n) = 6(n + -3) + -1 2n + (-3 * -3 + 4n * -3) = 6(n + -3) + -1 2n + (9 + -12n) = 6(n + -3) + -1 Reorder the terms: 9 + 2n + -12n = 6(n + -3) + -1 Combine like terms: 2n + -12n = -10n 9 + -10n = 6(n + -3) + -1 Reorder the terms: 9 + -10n = 6(-3 + n) + -1 9 + -10n = (-3 * 6 + n * 6) + -1 9 + -10n = (-18 + 6n) + -1 Reorder the terms: 9 + -10n = -18 + -1 + 6n Combine like terms: -18 + -1 = -19 9 + -10n = -19 + 6n Solving 9 + -10n = -19 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 9 + -10n + -6n = -19 + 6n + -6n Combine like terms: -10n + -6n = -16n 9 + -16n = -19 + 6n + -6n Combine like terms: 6n + -6n = 0 9 + -16n = -19 + 0 9 + -16n = -19 Add '-9' to each side of the equation. 9 + -9 + -16n = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -16n = -19 + -9 -16n = -19 + -9 Combine like terms: -19 + -9 = -28 -16n = -28 Divide each side by '-16'. n = 1.75 Simplifying n = 1.75
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