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Simplifying -8(2n + 6) = -2n + -6 Reorder the terms: -8(6 + 2n) = -2n + -6 (6 * -8 + 2n * -8) = -2n + -6 (-48 + -16n) = -2n + -6 Reorder the terms: -48 + -16n = -6 + -2n Solving -48 + -16n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -48 + -16n + 2n = -6 + -2n + 2n Combine like terms: -16n + 2n = -14n -48 + -14n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 -48 + -14n = -6 + 0 -48 + -14n = -6 Add '48' to each side of the equation. -48 + 48 + -14n = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -14n = -6 + 48 -14n = -6 + 48 Combine like terms: -6 + 48 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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