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Simplifying -16 = 2(-6 + 6n) + -8(4n + 3) -16 = (-6 * 2 + 6n * 2) + -8(4n + 3) -16 = (-12 + 12n) + -8(4n + 3) Reorder the terms: -16 = -12 + 12n + -8(3 + 4n) -16 = -12 + 12n + (3 * -8 + 4n * -8) -16 = -12 + 12n + (-24 + -32n) Reorder the terms: -16 = -12 + -24 + 12n + -32n Combine like terms: -12 + -24 = -36 -16 = -36 + 12n + -32n Combine like terms: 12n + -32n = -20n -16 = -36 + -20n Solving -16 = -36 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -16 + 20n = -36 + -20n + 20n Combine like terms: -20n + 20n = 0 -16 + 20n = -36 + 0 -16 + 20n = -36 Add '16' to each side of the equation. -16 + 16 + 20n = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 20n = -36 + 16 20n = -36 + 16 Combine like terms: -36 + 16 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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