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Simplifying 3 + 7(-3n + 6) = -4n + -6 Reorder the terms: 3 + 7(6 + -3n) = -4n + -6 3 + (6 * 7 + -3n * 7) = -4n + -6 3 + (42 + -21n) = -4n + -6 Combine like terms: 3 + 42 = 45 45 + -21n = -4n + -6 Reorder the terms: 45 + -21n = -6 + -4n Solving 45 + -21n = -6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 45 + -21n + 4n = -6 + -4n + 4n Combine like terms: -21n + 4n = -17n 45 + -17n = -6 + -4n + 4n Combine like terms: -4n + 4n = 0 45 + -17n = -6 + 0 45 + -17n = -6 Add '-45' to each side of the equation. 45 + -45 + -17n = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -17n = -6 + -45 -17n = -6 + -45 Combine like terms: -6 + -45 = -51 -17n = -51 Divide each side by '-17'. n = 3 Simplifying n = 3
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