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Simplifying (5)(-1n) + -5 = (-3)(n + 2 + n + 3) Remove parenthesis around (-1n) 5 * -1n + -5 = (-3)(n + 2 + n + 3) Multiply 5 * -1 -5n + -5 = (-3)(n + 2 + n + 3) Reorder the terms: -5 + -5n = (-3)(n + 2 + n + 3) Reorder the terms: -5 + -5n = -3(2 + 3 + n + n) Combine like terms: 2 + 3 = 5 -5 + -5n = -3(5 + n + n) Combine like terms: n + n = 2n -5 + -5n = -3(5 + 2n) -5 + -5n = (5 * -3 + 2n * -3) -5 + -5n = (-15 + -6n) Solving -5 + -5n = -15 + -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. -5 + -5n + 6n = -15 + -6n + 6n Combine like terms: -5n + 6n = 1n -5 + 1n = -15 + -6n + 6n Combine like terms: -6n + 6n = 0 -5 + 1n = -15 + 0 -5 + 1n = -15 Add '5' to each side of the equation. -5 + 5 + 1n = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = -15 + 5 1n = -15 + 5 Combine like terms: -15 + 5 = -10 1n = -10 Divide each side by '1'. n = -10 Simplifying n = -10
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