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