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Simplifying -6(n + 7) = -30 + -3n Reorder the terms: -6(7 + n) = -30 + -3n (7 * -6 + n * -6) = -30 + -3n (-42 + -6n) = -30 + -3n Solving -42 + -6n = -30 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -42 + -6n + 3n = -30 + -3n + 3n Combine like terms: -6n + 3n = -3n -42 + -3n = -30 + -3n + 3n Combine like terms: -3n + 3n = 0 -42 + -3n = -30 + 0 -42 + -3n = -30 Add '42' to each side of the equation. -42 + 42 + -3n = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -3n = -30 + 42 -3n = -30 + 42 Combine like terms: -30 + 42 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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