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Simplifying -8 = 4(7 + -3n) + 5(-1n + 3) -8 = (7 * 4 + -3n * 4) + 5(-1n + 3) -8 = (28 + -12n) + 5(-1n + 3) Reorder the terms: -8 = 28 + -12n + 5(3 + -1n) -8 = 28 + -12n + (3 * 5 + -1n * 5) -8 = 28 + -12n + (15 + -5n) Reorder the terms: -8 = 28 + 15 + -12n + -5n Combine like terms: 28 + 15 = 43 -8 = 43 + -12n + -5n Combine like terms: -12n + -5n = -17n -8 = 43 + -17n Solving -8 = 43 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -8 + 17n = 43 + -17n + 17n Combine like terms: -17n + 17n = 0 -8 + 17n = 43 + 0 -8 + 17n = 43 Add '8' to each side of the equation. -8 + 8 + 17n = 43 + 8 Combine like terms: -8 + 8 = 0 0 + 17n = 43 + 8 17n = 43 + 8 Combine like terms: 43 + 8 = 51 17n = 51 Divide each side by '17'. n = 3 Simplifying n = 3
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