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Simplifying 7(n + -6) + 1 = -37 + 3n Reorder the terms: 7(-6 + n) + 1 = -37 + 3n (-6 * 7 + n * 7) + 1 = -37 + 3n (-42 + 7n) + 1 = -37 + 3n Reorder the terms: -42 + 1 + 7n = -37 + 3n Combine like terms: -42 + 1 = -41 -41 + 7n = -37 + 3n Solving -41 + 7n = -37 + 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. -41 + 7n + -3n = -37 + 3n + -3n Combine like terms: 7n + -3n = 4n -41 + 4n = -37 + 3n + -3n Combine like terms: 3n + -3n = 0 -41 + 4n = -37 + 0 -41 + 4n = -37 Add '41' to each side of the equation. -41 + 41 + 4n = -37 + 41 Combine like terms: -41 + 41 = 0 0 + 4n = -37 + 41 4n = -37 + 41 Combine like terms: -37 + 41 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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