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Simplifying -5(n + 6) = 2(-1n + -3) Reorder the terms: -5(6 + n) = 2(-1n + -3) (6 * -5 + n * -5) = 2(-1n + -3) (-30 + -5n) = 2(-1n + -3) Reorder the terms: -30 + -5n = 2(-3 + -1n) -30 + -5n = (-3 * 2 + -1n * 2) -30 + -5n = (-6 + -2n) Solving -30 + -5n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -30 + -5n + 2n = -6 + -2n + 2n Combine like terms: -5n + 2n = -3n -30 + -3n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 -30 + -3n = -6 + 0 -30 + -3n = -6 Add '30' to each side of the equation. -30 + 30 + -3n = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -3n = -6 + 30 -3n = -6 + 30 Combine like terms: -6 + 30 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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