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Simplifying -6(4n + 6) + 4n = -4(-4 + 4n) Reorder the terms: -6(6 + 4n) + 4n = -4(-4 + 4n) (6 * -6 + 4n * -6) + 4n = -4(-4 + 4n) (-36 + -24n) + 4n = -4(-4 + 4n) Combine like terms: -24n + 4n = -20n -36 + -20n = -4(-4 + 4n) -36 + -20n = (-4 * -4 + 4n * -4) -36 + -20n = (16 + -16n) Solving -36 + -20n = 16 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -36 + -20n + 16n = 16 + -16n + 16n Combine like terms: -20n + 16n = -4n -36 + -4n = 16 + -16n + 16n Combine like terms: -16n + 16n = 0 -36 + -4n = 16 + 0 -36 + -4n = 16 Add '36' to each side of the equation. -36 + 36 + -4n = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -4n = 16 + 36 -4n = 16 + 36 Combine like terms: 16 + 36 = 52 -4n = 52 Divide each side by '-4'. n = -13 Simplifying n = -13
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