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Simplifying 4(100n) + -5(64n + 6) = 0 Remove parenthesis around (100n) 4 * 100n + -5(64n + 6) = 0 Multiply 4 * 100 400n + -5(64n + 6) = 0 Reorder the terms: 400n + -5(6 + 64n) = 0 400n + (6 * -5 + 64n * -5) = 0 400n + (-30 + -320n) = 0 Reorder the terms: -30 + 400n + -320n = 0 Combine like terms: 400n + -320n = 80n -30 + 80n = 0 Solving -30 + 80n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 80n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 80n = 0 + 30 80n = 0 + 30 Combine like terms: 0 + 30 = 30 80n = 30 Divide each side by '80'. n = 0.375 Simplifying n = 0.375
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