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Simplifying -2 + -4(n + 3) = 2n + -2(7 + -7n) Reorder the terms: -2 + -4(3 + n) = 2n + -2(7 + -7n) -2 + (3 * -4 + n * -4) = 2n + -2(7 + -7n) -2 + (-12 + -4n) = 2n + -2(7 + -7n) Combine like terms: -2 + -12 = -14 -14 + -4n = 2n + -2(7 + -7n) -14 + -4n = 2n + (7 * -2 + -7n * -2) -14 + -4n = 2n + (-14 + 14n) Reorder the terms: -14 + -4n = -14 + 2n + 14n Combine like terms: 2n + 14n = 16n -14 + -4n = -14 + 16n Add '14' to each side of the equation. -14 + 14 + -4n = -14 + 14 + 16n Combine like terms: -14 + 14 = 0 0 + -4n = -14 + 14 + 16n -4n = -14 + 14 + 16n Combine like terms: -14 + 14 = 0 -4n = 0 + 16n -4n = 16n Solving -4n = 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. -4n + -16n = 16n + -16n Combine like terms: -4n + -16n = -20n -20n = 16n + -16n Combine like terms: 16n + -16n = 0 -20n = 0 Divide each side by '-20'. n = 0.0 Simplifying n = 0.0
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