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Simplifying -7(n + 6) + -1(5 + -3n) = -5n Reorder the terms: -7(6 + n) + -1(5 + -3n) = -5n (6 * -7 + n * -7) + -1(5 + -3n) = -5n (-42 + -7n) + -1(5 + -3n) = -5n -42 + -7n + (5 * -1 + -3n * -1) = -5n -42 + -7n + (-5 + 3n) = -5n Reorder the terms: -42 + -5 + -7n + 3n = -5n Combine like terms: -42 + -5 = -47 -47 + -7n + 3n = -5n Combine like terms: -7n + 3n = -4n -47 + -4n = -5n Solving -47 + -4n = -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. -47 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n -47 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 -47 + 1n = 0 Add '47' to each side of the equation. -47 + 47 + 1n = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1n = 0 + 47 1n = 0 + 47 Combine like terms: 0 + 47 = 47 1n = 47 Divide each side by '1'. n = 47 Simplifying n = 47
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