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Simplifying 38 + 4n = -7(1 + -7n) 38 + 4n = (1 * -7 + -7n * -7) 38 + 4n = (-7 + 49n) Solving 38 + 4n = -7 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 38 + 4n + -49n = -7 + 49n + -49n Combine like terms: 4n + -49n = -45n 38 + -45n = -7 + 49n + -49n Combine like terms: 49n + -49n = 0 38 + -45n = -7 + 0 38 + -45n = -7 Add '-38' to each side of the equation. 38 + -38 + -45n = -7 + -38 Combine like terms: 38 + -38 = 0 0 + -45n = -7 + -38 -45n = -7 + -38 Combine like terms: -7 + -38 = -45 -45n = -45 Divide each side by '-45'. n = 1 Simplifying n = 1
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