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Simplifying -7n + -42 + 3n = -7n + -39 Reorder the terms: -42 + -7n + 3n = -7n + -39 Combine like terms: -7n + 3n = -4n -42 + -4n = -7n + -39 Reorder the terms: -42 + -4n = -39 + -7n Solving -42 + -4n = -39 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -42 + -4n + 7n = -39 + -7n + 7n Combine like terms: -4n + 7n = 3n -42 + 3n = -39 + -7n + 7n Combine like terms: -7n + 7n = 0 -42 + 3n = -39 + 0 -42 + 3n = -39 Add '42' to each side of the equation. -42 + 42 + 3n = -39 + 42 Combine like terms: -42 + 42 = 0 0 + 3n = -39 + 42 3n = -39 + 42 Combine like terms: -39 + 42 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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