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Simplifying 10n + -4(4n + 2) = 3n + -26 Reorder the terms: 10n + -4(2 + 4n) = 3n + -26 10n + (2 * -4 + 4n * -4) = 3n + -26 10n + (-8 + -16n) = 3n + -26 Reorder the terms: -8 + 10n + -16n = 3n + -26 Combine like terms: 10n + -16n = -6n -8 + -6n = 3n + -26 Reorder the terms: -8 + -6n = -26 + 3n Solving -8 + -6n = -26 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + -6n + -3n = -26 + 3n + -3n Combine like terms: -6n + -3n = -9n -8 + -9n = -26 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + -9n = -26 + 0 -8 + -9n = -26 Add '8' to each side of the equation. -8 + 8 + -9n = -26 + 8 Combine like terms: -8 + 8 = 0 0 + -9n = -26 + 8 -9n = -26 + 8 Combine like terms: -26 + 8 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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