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Simplifying -6(n + 5) = -6(3 + -1n + -7) Reorder the terms: -6(5 + n) = -6(3 + -1n + -7) (5 * -6 + n * -6) = -6(3 + -1n + -7) (-30 + -6n) = -6(3 + -1n + -7) Reorder the terms: -30 + -6n = -6(3 + -7 + -1n) Combine like terms: 3 + -7 = -4 -30 + -6n = -6(-4 + -1n) -30 + -6n = (-4 * -6 + -1n * -6) -30 + -6n = (24 + 6n) Solving -30 + -6n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -30 + -6n + -6n = 24 + 6n + -6n Combine like terms: -6n + -6n = -12n -30 + -12n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + -12n = 24 + 0 -30 + -12n = 24 Add '30' to each side of the equation. -30 + 30 + -12n = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -12n = 24 + 30 -12n = 24 + 30 Combine like terms: 24 + 30 = 54 -12n = 54 Divide each side by '-12'. n = -4.5 Simplifying n = -4.5
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