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Simplifying -7(3 + n) = -37 + -5n (3 * -7 + n * -7) = -37 + -5n (-21 + -7n) = -37 + -5n Solving -21 + -7n = -37 + -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. -21 + -7n + 5n = -37 + -5n + 5n Combine like terms: -7n + 5n = -2n -21 + -2n = -37 + -5n + 5n Combine like terms: -5n + 5n = 0 -21 + -2n = -37 + 0 -21 + -2n = -37 Add '21' to each side of the equation. -21 + 21 + -2n = -37 + 21 Combine like terms: -21 + 21 = 0 0 + -2n = -37 + 21 -2n = -37 + 21 Combine like terms: -37 + 21 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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