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Simplifying -7(1 + -6n) + -5n = 37 + -7n (1 * -7 + -6n * -7) + -5n = 37 + -7n (-7 + 42n) + -5n = 37 + -7n Combine like terms: 42n + -5n = 37n -7 + 37n = 37 + -7n Solving -7 + 37n = 37 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -7 + 37n + 7n = 37 + -7n + 7n Combine like terms: 37n + 7n = 44n -7 + 44n = 37 + -7n + 7n Combine like terms: -7n + 7n = 0 -7 + 44n = 37 + 0 -7 + 44n = 37 Add '7' to each side of the equation. -7 + 7 + 44n = 37 + 7 Combine like terms: -7 + 7 = 0 0 + 44n = 37 + 7 44n = 37 + 7 Combine like terms: 37 + 7 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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