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Simplifying 4(-3n) + -14 = 4(2n + 3) + -9n Remove parenthesis around (-3n) 4 * -3n + -14 = 4(2n + 3) + -9n Multiply 4 * -3 -12n + -14 = 4(2n + 3) + -9n Reorder the terms: -14 + -12n = 4(2n + 3) + -9n Reorder the terms: -14 + -12n = 4(3 + 2n) + -9n -14 + -12n = (3 * 4 + 2n * 4) + -9n -14 + -12n = (12 + 8n) + -9n Combine like terms: 8n + -9n = -1n -14 + -12n = 12 + -1n Solving -14 + -12n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -14 + -12n + n = 12 + -1n + n Combine like terms: -12n + n = -11n -14 + -11n = 12 + -1n + n Combine like terms: -1n + n = 0 -14 + -11n = 12 + 0 -14 + -11n = 12 Add '14' to each side of the equation. -14 + 14 + -11n = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -11n = 12 + 14 -11n = 12 + 14 Combine like terms: 12 + 14 = 26 -11n = 26 Divide each side by '-11'. n = -2.363636364 Simplifying n = -2.363636364
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