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Simplifying 44 = -2(4 + -8n) + -2(6 + -8n) 44 = (4 * -2 + -8n * -2) + -2(6 + -8n) 44 = (-8 + 16n) + -2(6 + -8n) 44 = -8 + 16n + (6 * -2 + -8n * -2) 44 = -8 + 16n + (-12 + 16n) Reorder the terms: 44 = -8 + -12 + 16n + 16n Combine like terms: -8 + -12 = -20 44 = -20 + 16n + 16n Combine like terms: 16n + 16n = 32n 44 = -20 + 32n Solving 44 = -20 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 44 + -32n = -20 + 32n + -32n Combine like terms: 32n + -32n = 0 44 + -32n = -20 + 0 44 + -32n = -20 Add '-44' to each side of the equation. 44 + -44 + -32n = -20 + -44 Combine like terms: 44 + -44 = 0 0 + -32n = -20 + -44 -32n = -20 + -44 Combine like terms: -20 + -44 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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