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Simplifying 7(3n + -3) = (5n + 1) + 6 Reorder the terms: 7(-3 + 3n) = (5n + 1) + 6 (-3 * 7 + 3n * 7) = (5n + 1) + 6 (-21 + 21n) = (5n + 1) + 6 Reorder the terms: -21 + 21n = (1 + 5n) + 6 Remove parenthesis around (1 + 5n) -21 + 21n = 1 + 5n + 6 Reorder the terms: -21 + 21n = 1 + 6 + 5n Combine like terms: 1 + 6 = 7 -21 + 21n = 7 + 5n Solving -21 + 21n = 7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -21 + 21n + -5n = 7 + 5n + -5n Combine like terms: 21n + -5n = 16n -21 + 16n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + 16n = 7 + 0 -21 + 16n = 7 Add '21' to each side of the equation. -21 + 21 + 16n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 16n = 7 + 21 16n = 7 + 21 Combine like terms: 7 + 21 = 28 16n = 28 Divide each side by '16'. n = 1.75 Simplifying n = 1.75
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