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Simplifying 42 = 4n + -7(n + -9) Reorder the terms: 42 = 4n + -7(-9 + n) 42 = 4n + (-9 * -7 + n * -7) 42 = 4n + (63 + -7n) Reorder the terms: 42 = 63 + 4n + -7n Combine like terms: 4n + -7n = -3n 42 = 63 + -3n Solving 42 = 63 + -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 + 3n = 63 + -3n + 3n Combine like terms: -3n + 3n = 0 42 + 3n = 63 + 0 42 + 3n = 63 Add '-42' to each side of the equation. 42 + -42 + 3n = 63 + -42 Combine like terms: 42 + -42 = 0 0 + 3n = 63 + -42 3n = 63 + -42 Combine like terms: 63 + -42 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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