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Simplifying -37 = 3 + -5(5 + -3n) -37 = 3 + (5 * -5 + -3n * -5) -37 = 3 + (-25 + 15n) Combine like terms: 3 + -25 = -22 -37 = -22 + 15n Solving -37 = -22 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -37 + -15n = -22 + 15n + -15n Combine like terms: 15n + -15n = 0 -37 + -15n = -22 + 0 -37 + -15n = -22 Add '37' to each side of the equation. -37 + 37 + -15n = -22 + 37 Combine like terms: -37 + 37 = 0 0 + -15n = -22 + 37 -15n = -22 + 37 Combine like terms: -22 + 37 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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