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Simplifying -5(1 + 3n) = 37 + -1n (1 * -5 + 3n * -5) = 37 + -1n (-5 + -15n) = 37 + -1n Solving -5 + -15n = 37 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -5 + -15n + n = 37 + -1n + n Combine like terms: -15n + n = -14n -5 + -14n = 37 + -1n + n Combine like terms: -1n + n = 0 -5 + -14n = 37 + 0 -5 + -14n = 37 Add '5' to each side of the equation. -5 + 5 + -14n = 37 + 5 Combine like terms: -5 + 5 = 0 0 + -14n = 37 + 5 -14n = 37 + 5 Combine like terms: 37 + 5 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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