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Simplifying -7(3 + -1n) + 6n = -5 + 3(3n + -8) (3 * -7 + -1n * -7) + 6n = -5 + 3(3n + -8) (-21 + 7n) + 6n = -5 + 3(3n + -8) Combine like terms: 7n + 6n = 13n -21 + 13n = -5 + 3(3n + -8) Reorder the terms: -21 + 13n = -5 + 3(-8 + 3n) -21 + 13n = -5 + (-8 * 3 + 3n * 3) -21 + 13n = -5 + (-24 + 9n) Combine like terms: -5 + -24 = -29 -21 + 13n = -29 + 9n Solving -21 + 13n = -29 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -21 + 13n + -9n = -29 + 9n + -9n Combine like terms: 13n + -9n = 4n -21 + 4n = -29 + 9n + -9n Combine like terms: 9n + -9n = 0 -21 + 4n = -29 + 0 -21 + 4n = -29 Add '21' to each side of the equation. -21 + 21 + 4n = -29 + 21 Combine like terms: -21 + 21 = 0 0 + 4n = -29 + 21 4n = -29 + 21 Combine like terms: -29 + 21 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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