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Simplifying 5n + 7(n + 6) = -3 + -3n Reorder the terms: 5n + 7(6 + n) = -3 + -3n 5n + (6 * 7 + n * 7) = -3 + -3n 5n + (42 + 7n) = -3 + -3n Reorder the terms: 42 + 5n + 7n = -3 + -3n Combine like terms: 5n + 7n = 12n 42 + 12n = -3 + -3n Solving 42 + 12n = -3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 42 + 12n + 3n = -3 + -3n + 3n Combine like terms: 12n + 3n = 15n 42 + 15n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 42 + 15n = -3 + 0 42 + 15n = -3 Add '-42' to each side of the equation. 42 + -42 + 15n = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 15n = -3 + -42 15n = -3 + -42 Combine like terms: -3 + -42 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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