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Simplifying 5(n + 6) = 2(n + -3) + 4 Reorder the terms: 5(6 + n) = 2(n + -3) + 4 (6 * 5 + n * 5) = 2(n + -3) + 4 (30 + 5n) = 2(n + -3) + 4 Reorder the terms: 30 + 5n = 2(-3 + n) + 4 30 + 5n = (-3 * 2 + n * 2) + 4 30 + 5n = (-6 + 2n) + 4 Reorder the terms: 30 + 5n = -6 + 4 + 2n Combine like terms: -6 + 4 = -2 30 + 5n = -2 + 2n Solving 30 + 5n = -2 + 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. 30 + 5n + -2n = -2 + 2n + -2n Combine like terms: 5n + -2n = 3n 30 + 3n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 30 + 3n = -2 + 0 30 + 3n = -2 Add '-30' to each side of the equation. 30 + -30 + 3n = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 3n = -2 + -30 3n = -2 + -30 Combine like terms: -2 + -30 = -32 3n = -32 Divide each side by '3'. n = -10.66666667 Simplifying n = -10.66666667
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