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Simplifying -7(6 + 3n) = -16 + 5n (6 * -7 + 3n * -7) = -16 + 5n (-42 + -21n) = -16 + 5n Solving -42 + -21n = -16 + 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. -42 + -21n + -5n = -16 + 5n + -5n Combine like terms: -21n + -5n = -26n -42 + -26n = -16 + 5n + -5n Combine like terms: 5n + -5n = 0 -42 + -26n = -16 + 0 -42 + -26n = -16 Add '42' to each side of the equation. -42 + 42 + -26n = -16 + 42 Combine like terms: -42 + 42 = 0 0 + -26n = -16 + 42 -26n = -16 + 42 Combine like terms: -16 + 42 = 26 -26n = 26 Divide each side by '-26'. n = -1 Simplifying n = -1
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