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Simplifying 6(2n + -3) = 3(5n + 7) Reorder the terms: 6(-3 + 2n) = 3(5n + 7) (-3 * 6 + 2n * 6) = 3(5n + 7) (-18 + 12n) = 3(5n + 7) Reorder the terms: -18 + 12n = 3(7 + 5n) -18 + 12n = (7 * 3 + 5n * 3) -18 + 12n = (21 + 15n) Solving -18 + 12n = 21 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -18 + 12n + -15n = 21 + 15n + -15n Combine like terms: 12n + -15n = -3n -18 + -3n = 21 + 15n + -15n Combine like terms: 15n + -15n = 0 -18 + -3n = 21 + 0 -18 + -3n = 21 Add '18' to each side of the equation. -18 + 18 + -3n = 21 + 18 Combine like terms: -18 + 18 = 0 0 + -3n = 21 + 18 -3n = 21 + 18 Combine like terms: 21 + 18 = 39 -3n = 39 Divide each side by '-3'. n = -13 Simplifying n = -13
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