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Simplifying 3n + -47 = n + 7 Reorder the terms: -47 + 3n = n + 7 Reorder the terms: -47 + 3n = 7 + n Solving -47 + 3n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -47 + 3n + -1n = 7 + n + -1n Combine like terms: 3n + -1n = 2n -47 + 2n = 7 + n + -1n Combine like terms: n + -1n = 0 -47 + 2n = 7 + 0 -47 + 2n = 7 Add '47' to each side of the equation. -47 + 47 + 2n = 7 + 47 Combine like terms: -47 + 47 = 0 0 + 2n = 7 + 47 2n = 7 + 47 Combine like terms: 7 + 47 = 54 2n = 54 Divide each side by '2'. n = 27 Simplifying n = 27
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