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Simplifying -38 + -2n = 4(-1n + -8) Reorder the terms: -38 + -2n = 4(-8 + -1n) -38 + -2n = (-8 * 4 + -1n * 4) -38 + -2n = (-32 + -4n) Solving -38 + -2n = -32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -38 + -2n + 4n = -32 + -4n + 4n Combine like terms: -2n + 4n = 2n -38 + 2n = -32 + -4n + 4n Combine like terms: -4n + 4n = 0 -38 + 2n = -32 + 0 -38 + 2n = -32 Add '38' to each side of the equation. -38 + 38 + 2n = -32 + 38 Combine like terms: -38 + 38 = 0 0 + 2n = -32 + 38 2n = -32 + 38 Combine like terms: -32 + 38 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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