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Simplifying -3(12 + 3n) + -5 = -1(1 + 5n) (12 * -3 + 3n * -3) + -5 = -1(1 + 5n) (-36 + -9n) + -5 = -1(1 + 5n) Reorder the terms: -36 + -5 + -9n = -1(1 + 5n) Combine like terms: -36 + -5 = -41 -41 + -9n = -1(1 + 5n) -41 + -9n = (1 * -1 + 5n * -1) -41 + -9n = (-1 + -5n) Solving -41 + -9n = -1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -41 + -9n + 5n = -1 + -5n + 5n Combine like terms: -9n + 5n = -4n -41 + -4n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 -41 + -4n = -1 + 0 -41 + -4n = -1 Add '41' to each side of the equation. -41 + 41 + -4n = -1 + 41 Combine like terms: -41 + 41 = 0 0 + -4n = -1 + 41 -4n = -1 + 41 Combine like terms: -1 + 41 = 40 -4n = 40 Divide each side by '-4'. n = -10 Simplifying n = -10
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