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Simplifying 37 + 3n = 6 + -1(n + 1) Reorder the terms: 37 + 3n = 6 + -1(1 + n) 37 + 3n = 6 + (1 * -1 + n * -1) 37 + 3n = 6 + (-1 + -1n) Combine like terms: 6 + -1 = 5 37 + 3n = 5 + -1n Solving 37 + 3n = 5 + -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. 37 + 3n + n = 5 + -1n + n Combine like terms: 3n + n = 4n 37 + 4n = 5 + -1n + n Combine like terms: -1n + n = 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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