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Simplifying 6(2n + -3) = (2n + 5) + 7 Reorder the terms: 6(-3 + 2n) = (2n + 5) + 7 (-3 * 6 + 2n * 6) = (2n + 5) + 7 (-18 + 12n) = (2n + 5) + 7 Reorder the terms: -18 + 12n = (5 + 2n) + 7 Remove parenthesis around (5 + 2n) -18 + 12n = 5 + 2n + 7 Reorder the terms: -18 + 12n = 5 + 7 + 2n Combine like terms: 5 + 7 = 12 -18 + 12n = 12 + 2n Solving -18 + 12n = 12 + 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. -18 + 12n + -2n = 12 + 2n + -2n Combine like terms: 12n + -2n = 10n -18 + 10n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + 10n = 12 + 0 -18 + 10n = 12 Add '18' to each side of the equation. -18 + 18 + 10n = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10n = 12 + 18 10n = 12 + 18 Combine like terms: 12 + 18 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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