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Simplifying -3(3n + -6) = 10 + -7n Reorder the terms: -3(-6 + 3n) = 10 + -7n (-6 * -3 + 3n * -3) = 10 + -7n (18 + -9n) = 10 + -7n Solving 18 + -9n = 10 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 18 + -9n + 7n = 10 + -7n + 7n Combine like terms: -9n + 7n = -2n 18 + -2n = 10 + -7n + 7n Combine like terms: -7n + 7n = 0 18 + -2n = 10 + 0 18 + -2n = 10 Add '-18' to each side of the equation. 18 + -18 + -2n = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = 10 + -18 -2n = 10 + -18 Combine like terms: 10 + -18 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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