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Simplifying 5(n + 2) + -4 = 4(-3n + -7) Reorder the terms: 5(2 + n) + -4 = 4(-3n + -7) (2 * 5 + n * 5) + -4 = 4(-3n + -7) (10 + 5n) + -4 = 4(-3n + -7) Reorder the terms: 10 + -4 + 5n = 4(-3n + -7) Combine like terms: 10 + -4 = 6 6 + 5n = 4(-3n + -7) Reorder the terms: 6 + 5n = 4(-7 + -3n) 6 + 5n = (-7 * 4 + -3n * 4) 6 + 5n = (-28 + -12n) Solving 6 + 5n = -28 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 6 + 5n + 12n = -28 + -12n + 12n Combine like terms: 5n + 12n = 17n 6 + 17n = -28 + -12n + 12n Combine like terms: -12n + 12n = 0 6 + 17n = -28 + 0 6 + 17n = -28 Add '-6' to each side of the equation. 6 + -6 + 17n = -28 + -6 Combine like terms: 6 + -6 = 0 0 + 17n = -28 + -6 17n = -28 + -6 Combine like terms: -28 + -6 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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