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Simplifying -5(n) + -2 = -3(n + 7) Reorder the terms: -2 + -5n = -3(n + 7) Reorder the terms: -2 + -5n = -3(7 + n) -2 + -5n = (7 * -3 + n * -3) -2 + -5n = (-21 + -3n) Solving -2 + -5n = -21 + -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. -2 + -5n + 3n = -21 + -3n + 3n Combine like terms: -5n + 3n = -2n -2 + -2n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + -2n = -21 + 0 -2 + -2n = -21 Add '2' to each side of the equation. -2 + 2 + -2n = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = -21 + 2 -2n = -21 + 2 Combine like terms: -21 + 2 = -19 -2n = -19 Divide each side by '-2'. n = 9.5 Simplifying n = 9.5
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