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Simplifying 37 + 7n = -4(n + -1) Reorder the terms: 37 + 7n = -4(-1 + n) 37 + 7n = (-1 * -4 + n * -4) 37 + 7n = (4 + -4n) Solving 37 + 7n = 4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 37 + 7n + 4n = 4 + -4n + 4n Combine like terms: 7n + 4n = 11n 37 + 11n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 37 + 11n = 4 + 0 37 + 11n = 4 Add '-37' to each side of the equation. 37 + -37 + 11n = 4 + -37 Combine like terms: 37 + -37 = 0 0 + 11n = 4 + -37 11n = 4 + -37 Combine like terms: 4 + -37 = -33 11n = -33 Divide each side by '11'. n = -3 Simplifying n = -3
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