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Simplifying 38 + -1n = -8(1 + 3n) 38 + -1n = (1 * -8 + 3n * -8) 38 + -1n = (-8 + -24n) Solving 38 + -1n = -8 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 38 + -1n + 24n = -8 + -24n + 24n Combine like terms: -1n + 24n = 23n 38 + 23n = -8 + -24n + 24n Combine like terms: -24n + 24n = 0 38 + 23n = -8 + 0 38 + 23n = -8 Add '-38' to each side of the equation. 38 + -38 + 23n = -8 + -38 Combine like terms: 38 + -38 = 0 0 + 23n = -8 + -38 23n = -8 + -38 Combine like terms: -8 + -38 = -46 23n = -46 Divide each side by '23'. n = -2 Simplifying n = -2
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