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Simplifying 4(2n + -3) + 3[3n + -8(n + -2)] = 15 + -4n Reorder the terms: 4(-3 + 2n) + 3[3n + -8(n + -2)] = 15 + -4n (-3 * 4 + 2n * 4) + 3[3n + -8(n + -2)] = 15 + -4n (-12 + 8n) + 3[3n + -8(n + -2)] = 15 + -4n Reorder the terms: -12 + 8n + 3[3n + -8(-2 + n)] = 15 + -4n -12 + 8n + 3[3n + (-2 * -8 + n * -8)] = 15 + -4n -12 + 8n + 3[3n + (16 + -8n)] = 15 + -4n Reorder the terms: -12 + 8n + 3[16 + 3n + -8n] = 15 + -4n Combine like terms: 3n + -8n = -5n -12 + 8n + 3[16 + -5n] = 15 + -4n -12 + 8n + [16 * 3 + -5n * 3] = 15 + -4n -12 + 8n + [48 + -15n] = 15 + -4n Reorder the terms: -12 + 48 + 8n + -15n = 15 + -4n Combine like terms: -12 + 48 = 36 36 + 8n + -15n = 15 + -4n Combine like terms: 8n + -15n = -7n 36 + -7n = 15 + -4n Solving 36 + -7n = 15 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 36 + -7n + 4n = 15 + -4n + 4n Combine like terms: -7n + 4n = -3n 36 + -3n = 15 + -4n + 4n Combine like terms: -4n + 4n = 0 36 + -3n = 15 + 0 36 + -3n = 15 Add '-36' to each side of the equation. 36 + -36 + -3n = 15 + -36 Combine like terms: 36 + -36 = 0 0 + -3n = 15 + -36 -3n = 15 + -36 Combine like terms: 15 + -36 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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