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Simplifying -2(6n + -2) + -4n = -6(n + 6) Reorder the terms: -2(-2 + 6n) + -4n = -6(n + 6) (-2 * -2 + 6n * -2) + -4n = -6(n + 6) (4 + -12n) + -4n = -6(n + 6) Combine like terms: -12n + -4n = -16n 4 + -16n = -6(n + 6) Reorder the terms: 4 + -16n = -6(6 + n) 4 + -16n = (6 * -6 + n * -6) 4 + -16n = (-36 + -6n) Solving 4 + -16n = -36 + -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. 4 + -16n + 6n = -36 + -6n + 6n Combine like terms: -16n + 6n = -10n 4 + -10n = -36 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + -10n = -36 + 0 4 + -10n = -36 Add '-4' to each side of the equation. 4 + -4 + -10n = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -10n = -36 + -4 -10n = -36 + -4 Combine like terms: -36 + -4 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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