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Simplifying -4 + -2(1 + 6n) = 21 + -3n -4 + (1 * -2 + 6n * -2) = 21 + -3n -4 + (-2 + -12n) = 21 + -3n Combine like terms: -4 + -2 = -6 -6 + -12n = 21 + -3n Solving -6 + -12n = 21 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -6 + -12n + 3n = 21 + -3n + 3n Combine like terms: -12n + 3n = -9n -6 + -9n = 21 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + -9n = 21 + 0 -6 + -9n = 21 Add '6' to each side of the equation. -6 + 6 + -9n = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9n = 21 + 6 -9n = 21 + 6 Combine like terms: 21 + 6 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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