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Simplifying 4x + 2[3 + -2(x + 5)] = 3n + -7 Reorder the terms: 4x + 2[3 + -2(5 + x)] = 3n + -7 4x + 2[3 + (5 * -2 + x * -2)] = 3n + -7 4x + 2[3 + (-10 + -2x)] = 3n + -7 Combine like terms: 3 + -10 = -7 4x + 2[-7 + -2x] = 3n + -7 4x + [-7 * 2 + -2x * 2] = 3n + -7 4x + [-14 + -4x] = 3n + -7 Reorder the terms: -14 + 4x + -4x = 3n + -7 Combine like terms: 4x + -4x = 0 -14 + 0 = 3n + -7 -14 = 3n + -7 Reorder the terms: -14 = -7 + 3n Solving -14 = -7 + 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. -14 + -3n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + -3n = -7 + 0 -14 + -3n = -7 Add '14' to each side of the equation. -14 + 14 + -3n = -7 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = -7 + 14 -3n = -7 + 14 Combine like terms: -7 + 14 = 7 -3n = 7 Divide each side by '-3'. n = -2.333333333 Simplifying n = -2.333333333
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