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Simplifying 8 + -3(2n + 5) + 4n + -6 = -6 + 10n Reorder the terms: 8 + -3(5 + 2n) + 4n + -6 = -6 + 10n 8 + (5 * -3 + 2n * -3) + 4n + -6 = -6 + 10n 8 + (-15 + -6n) + 4n + -6 = -6 + 10n Reorder the terms: 8 + -15 + -6 + -6n + 4n = -6 + 10n Combine like terms: 8 + -15 = -7 -7 + -6 + -6n + 4n = -6 + 10n Combine like terms: -7 + -6 = -13 -13 + -6n + 4n = -6 + 10n Combine like terms: -6n + 4n = -2n -13 + -2n = -6 + 10n Solving -13 + -2n = -6 + 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. -13 + -2n + -10n = -6 + 10n + -10n Combine like terms: -2n + -10n = -12n -13 + -12n = -6 + 10n + -10n Combine like terms: 10n + -10n = 0 -13 + -12n = -6 + 0 -13 + -12n = -6 Add '13' to each side of the equation. -13 + 13 + -12n = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -12n = -6 + 13 -12n = -6 + 13 Combine like terms: -6 + 13 = 7 -12n = 7 Divide each side by '-12'. n = -0.5833333333 Simplifying n = -0.5833333333
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