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Simplifying 6(2n + -3) + -3(6n + 1) = 10n Reorder the terms: 6(-3 + 2n) + -3(6n + 1) = 10n (-3 * 6 + 2n * 6) + -3(6n + 1) = 10n (-18 + 12n) + -3(6n + 1) = 10n Reorder the terms: -18 + 12n + -3(1 + 6n) = 10n -18 + 12n + (1 * -3 + 6n * -3) = 10n -18 + 12n + (-3 + -18n) = 10n Reorder the terms: -18 + -3 + 12n + -18n = 10n Combine like terms: -18 + -3 = -21 -21 + 12n + -18n = 10n Combine like terms: 12n + -18n = -6n -21 + -6n = 10n Solving -21 + -6n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -21 + -6n + -10n = 10n + -10n Combine like terms: -6n + -10n = -16n -21 + -16n = 10n + -10n Combine like terms: 10n + -10n = 0 -21 + -16n = 0 Add '21' to each side of the equation. -21 + 21 + -16n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -16n = 0 + 21 -16n = 0 + 21 Combine like terms: 0 + 21 = 21 -16n = 21 Divide each side by '-16'. n = -1.3125 Simplifying n = -1.3125
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