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Simplifying 1 + -2n + -6 = 3(-3 + -4) + -6(n + -12) Reorder the terms: 1 + -6 + -2n = 3(-3 + -4) + -6(n + -12) Combine like terms: 1 + -6 = -5 -5 + -2n = 3(-3 + -4) + -6(n + -12) Combine like terms: -3 + -4 = -7 -5 + -2n = 3(-7) + -6(n + -12) Multiply 3 * -7 -5 + -2n = -21 + -6(n + -12) Reorder the terms: -5 + -2n = -21 + -6(-12 + n) -5 + -2n = -21 + (-12 * -6 + n * -6) -5 + -2n = -21 + (72 + -6n) Combine like terms: -21 + 72 = 51 -5 + -2n = 51 + -6n Solving -5 + -2n = 51 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -5 + -2n + 6n = 51 + -6n + 6n Combine like terms: -2n + 6n = 4n -5 + 4n = 51 + -6n + 6n Combine like terms: -6n + 6n = 0 -5 + 4n = 51 + 0 -5 + 4n = 51 Add '5' to each side of the equation. -5 + 5 + 4n = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 51 + 5 4n = 51 + 5 Combine like terms: 51 + 5 = 56 4n = 56 Divide each side by '4'. n = 14 Simplifying n = 14
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