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Simplifying -38 + 2n = 4(1 + -3n) + -7n -38 + 2n = (1 * 4 + -3n * 4) + -7n -38 + 2n = (4 + -12n) + -7n Combine like terms: -12n + -7n = -19n -38 + 2n = 4 + -19n Solving -38 + 2n = 4 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -38 + 2n + 19n = 4 + -19n + 19n Combine like terms: 2n + 19n = 21n -38 + 21n = 4 + -19n + 19n Combine like terms: -19n + 19n = 0 -38 + 21n = 4 + 0 -38 + 21n = 4 Add '38' to each side of the equation. -38 + 38 + 21n = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 21n = 4 + 38 21n = 4 + 38 Combine like terms: 4 + 38 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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