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Simplifying 7(n + -7) = 6n + 42 Reorder the terms: 7(-7 + n) = 6n + 42 (-7 * 7 + n * 7) = 6n + 42 (-49 + 7n) = 6n + 42 Reorder the terms: -49 + 7n = 42 + 6n Solving -49 + 7n = 42 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -49 + 7n + -6n = 42 + 6n + -6n Combine like terms: 7n + -6n = 1n -49 + 1n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 -49 + 1n = 42 + 0 -49 + 1n = 42 Add '49' to each side of the equation. -49 + 49 + 1n = 42 + 49 Combine like terms: -49 + 49 = 0 0 + 1n = 42 + 49 1n = 42 + 49 Combine like terms: 42 + 49 = 91 1n = 91 Divide each side by '1'. n = 91 Simplifying n = 91
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