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Simplifying 5(n + 2) = n + 6(n + -3) Reorder the terms: 5(2 + n) = n + 6(n + -3) (2 * 5 + n * 5) = n + 6(n + -3) (10 + 5n) = n + 6(n + -3) Reorder the terms: 10 + 5n = n + 6(-3 + n) 10 + 5n = n + (-3 * 6 + n * 6) 10 + 5n = n + (-18 + 6n) Reorder the terms: 10 + 5n = -18 + n + 6n Combine like terms: n + 6n = 7n 10 + 5n = -18 + 7n Solving 10 + 5n = -18 + 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. 10 + 5n + -7n = -18 + 7n + -7n Combine like terms: 5n + -7n = -2n 10 + -2n = -18 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -2n = -18 + 0 10 + -2n = -18 Add '-10' to each side of the equation. 10 + -10 + -2n = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -18 + -10 -2n = -18 + -10 Combine like terms: -18 + -10 = -28 -2n = -28 Divide each side by '-2'. n = 14 Simplifying n = 14
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