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Simplifying -6(2n + 3) = 3(n + -1) Reorder the terms: -6(3 + 2n) = 3(n + -1) (3 * -6 + 2n * -6) = 3(n + -1) (-18 + -12n) = 3(n + -1) Reorder the terms: -18 + -12n = 3(-1 + n) -18 + -12n = (-1 * 3 + n * 3) -18 + -12n = (-3 + 3n) Solving -18 + -12n = -3 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -18 + -12n + -3n = -3 + 3n + -3n Combine like terms: -12n + -3n = -15n -18 + -15n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + -15n = -3 + 0 -18 + -15n = -3 Add '18' to each side of the equation. -18 + 18 + -15n = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -15n = -3 + 18 -15n = -3 + 18 Combine like terms: -3 + 18 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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