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Simplifying -7(7n + 1) + 5n = 38 + n Reorder the terms: -7(1 + 7n) + 5n = 38 + n (1 * -7 + 7n * -7) + 5n = 38 + n (-7 + -49n) + 5n = 38 + n Combine like terms: -49n + 5n = -44n -7 + -44n = 38 + n Solving -7 + -44n = 38 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -7 + -44n + -1n = 38 + n + -1n Combine like terms: -44n + -1n = -45n -7 + -45n = 38 + n + -1n Combine like terms: n + -1n = 0 -7 + -45n = 38 + 0 -7 + -45n = 38 Add '7' to each side of the equation. -7 + 7 + -45n = 38 + 7 Combine like terms: -7 + 7 = 0 0 + -45n = 38 + 7 -45n = 38 + 7 Combine like terms: 38 + 7 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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