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Simplifying 12 + n = -4(-3 + 7n) 12 + n = (-3 * -4 + 7n * -4) 12 + n = (12 + -28n) Add '-12' to each side of the equation. 12 + -12 + n = 12 + -12 + -28n Combine like terms: 12 + -12 = 0 0 + n = 12 + -12 + -28n n = 12 + -12 + -28n Combine like terms: 12 + -12 = 0 n = 0 + -28n n = -28n Solving n = -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. n + 28n = -28n + 28n Combine like terms: n + 28n = 29n 29n = -28n + 28n Combine like terms: -28n + 28n = 0 29n = 0 Divide each side by '29'. n = 0 Simplifying n = 0
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