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Simplifying -62 = -8(3n + 4) + -6n Reorder the terms: -62 = -8(4 + 3n) + -6n -62 = (4 * -8 + 3n * -8) + -6n -62 = (-32 + -24n) + -6n Combine like terms: -24n + -6n = -30n -62 = -32 + -30n Solving -62 = -32 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -62 + 30n = -32 + -30n + 30n Combine like terms: -30n + 30n = 0 -62 + 30n = -32 + 0 -62 + 30n = -32 Add '62' to each side of the equation. -62 + 62 + 30n = -32 + 62 Combine like terms: -62 + 62 = 0 0 + 30n = -32 + 62 30n = -32 + 62 Combine like terms: -32 + 62 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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