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Simplifying -6n + -20 = -2n + -4(1 + -3n) Reorder the terms: -20 + -6n = -2n + -4(1 + -3n) -20 + -6n = -2n + (1 * -4 + -3n * -4) -20 + -6n = -2n + (-4 + 12n) Reorder the terms: -20 + -6n = -4 + -2n + 12n Combine like terms: -2n + 12n = 10n -20 + -6n = -4 + 10n Solving -20 + -6n = -4 + 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. -20 + -6n + -10n = -4 + 10n + -10n Combine like terms: -6n + -10n = -16n -20 + -16n = -4 + 10n + -10n Combine like terms: 10n + -10n = 0 -20 + -16n = -4 + 0 -20 + -16n = -4 Add '20' to each side of the equation. -20 + 20 + -16n = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -16n = -4 + 20 -16n = -4 + 20 Combine like terms: -4 + 20 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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