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Simplifying 7(3n + -3) = (2n + 1) + 8 Reorder the terms: 7(-3 + 3n) = (2n + 1) + 8 (-3 * 7 + 3n * 7) = (2n + 1) + 8 (-21 + 21n) = (2n + 1) + 8 Reorder the terms: -21 + 21n = (1 + 2n) + 8 Remove parenthesis around (1 + 2n) -21 + 21n = 1 + 2n + 8 Reorder the terms: -21 + 21n = 1 + 8 + 2n Combine like terms: 1 + 8 = 9 -21 + 21n = 9 + 2n Solving -21 + 21n = 9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -21 + 21n + -2n = 9 + 2n + -2n Combine like terms: 21n + -2n = 19n -21 + 19n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 -21 + 19n = 9 + 0 -21 + 19n = 9 Add '21' to each side of the equation. -21 + 21 + 19n = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 19n = 9 + 21 19n = 9 + 21 Combine like terms: 9 + 21 = 30 19n = 30 Divide each side by '19'. n = 1.578947368 Simplifying n = 1.578947368
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