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Simplifying -6(3n + 5) + -5n = -2n + 12 Reorder the terms: -6(5 + 3n) + -5n = -2n + 12 (5 * -6 + 3n * -6) + -5n = -2n + 12 (-30 + -18n) + -5n = -2n + 12 Combine like terms: -18n + -5n = -23n -30 + -23n = -2n + 12 Reorder the terms: -30 + -23n = 12 + -2n Solving -30 + -23n = 12 + -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 + -23n + 2n = 12 + -2n + 2n Combine like terms: -23n + 2n = -21n -30 + -21n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -30 + -21n = 12 + 0 -30 + -21n = 12 Add '30' to each side of the equation. -30 + 30 + -21n = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -21n = 12 + 30 -21n = 12 + 30 Combine like terms: 12 + 30 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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