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Simplifying 1 + 3(x + -4) + 5n = 4n + 9 Reorder the terms: 1 + 3(-4 + x) + 5n = 4n + 9 1 + (-4 * 3 + x * 3) + 5n = 4n + 9 1 + (-12 + 3x) + 5n = 4n + 9 Reorder the terms: 1 + -12 + 5n + 3x = 4n + 9 Combine like terms: 1 + -12 = -11 -11 + 5n + 3x = 4n + 9 Reorder the terms: -11 + 5n + 3x = 9 + 4n Solving -11 + 5n + 3x = 9 + 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. -11 + 5n + -4n + 3x = 9 + 4n + -4n Combine like terms: 5n + -4n = 1n -11 + 1n + 3x = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -11 + 1n + 3x = 9 + 0 -11 + 1n + 3x = 9 Add '11' to each side of the equation. -11 + 1n + 11 + 3x = 9 + 11 Reorder the terms: -11 + 11 + 1n + 3x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 1n + 3x = 9 + 11 1n + 3x = 9 + 11 Combine like terms: 9 + 11 = 20 1n + 3x = 20 Add '-3x' to each side of the equation. 1n + 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 1n + 0 = 20 + -3x 1n = 20 + -3x Divide each side by '1'. n = 20 + -3x Simplifying n = 20 + -3x
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