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Simplifying -38 + -4n = 3(4n + -2) Reorder the terms: -38 + -4n = 3(-2 + 4n) -38 + -4n = (-2 * 3 + 4n * 3) -38 + -4n = (-6 + 12n) Solving -38 + -4n = -6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -38 + -4n + -12n = -6 + 12n + -12n Combine like terms: -4n + -12n = -16n -38 + -16n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 -38 + -16n = -6 + 0 -38 + -16n = -6 Add '38' to each side of the equation. -38 + 38 + -16n = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -16n = -6 + 38 -16n = -6 + 38 Combine like terms: -6 + 38 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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