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Simplifying -37 + -1n = -1(5 + -3n) -37 + -1n = (5 * -1 + -3n * -1) -37 + -1n = (-5 + 3n) Solving -37 + -1n = -5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -37 + -1n + -3n = -5 + 3n + -3n Combine like terms: -1n + -3n = -4n -37 + -4n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 -37 + -4n = -5 + 0 -37 + -4n = -5 Add '37' to each side of the equation. -37 + 37 + -4n = -5 + 37 Combine like terms: -37 + 37 = 0 0 + -4n = -5 + 37 -4n = -5 + 37 Combine like terms: -5 + 37 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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