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Simplifying 5[n + -5] + 4[n + -10] = -5n + 9n Reorder the terms: 5[-5 + n] + 4[n + -10] = -5n + 9n [-5 * 5 + n * 5] + 4[n + -10] = -5n + 9n [-25 + 5n] + 4[n + -10] = -5n + 9n Reorder the terms: -25 + 5n + 4[-10 + n] = -5n + 9n -25 + 5n + [-10 * 4 + n * 4] = -5n + 9n -25 + 5n + [-40 + 4n] = -5n + 9n Reorder the terms: -25 + -40 + 5n + 4n = -5n + 9n Combine like terms: -25 + -40 = -65 -65 + 5n + 4n = -5n + 9n Combine like terms: 5n + 4n = 9n -65 + 9n = -5n + 9n Combine like terms: -5n + 9n = 4n -65 + 9n = 4n Solving -65 + 9n = 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. -65 + 9n + -4n = 4n + -4n Combine like terms: 9n + -4n = 5n -65 + 5n = 4n + -4n Combine like terms: 4n + -4n = 0 -65 + 5n = 0 Add '65' to each side of the equation. -65 + 65 + 5n = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 5n = 0 + 65 5n = 0 + 65 Combine like terms: 0 + 65 = 65 5n = 65 Divide each side by '5'. n = 13 Simplifying n = 13
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