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Simplifying -7(n + 6) = -37 + -2n Reorder the terms: -7(6 + n) = -37 + -2n (6 * -7 + n * -7) = -37 + -2n (-42 + -7n) = -37 + -2n Solving -42 + -7n = -37 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -42 + -7n + 2n = -37 + -2n + 2n Combine like terms: -7n + 2n = -5n -42 + -5n = -37 + -2n + 2n Combine like terms: -2n + 2n = 0 -42 + -5n = -37 + 0 -42 + -5n = -37 Add '42' to each side of the equation. -42 + 42 + -5n = -37 + 42 Combine like terms: -42 + 42 = 0 0 + -5n = -37 + 42 -5n = -37 + 42 Combine like terms: -37 + 42 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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