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Simplifying 4(5n + -4n) + 3(4n + -5n) + -3(n + 5) = 15 Combine like terms: 5n + -4n = 1n 4(1n) + 3(4n + -5n) + -3(n + 5) = 15 Remove parenthesis around (1n) 4 * 1n + 3(4n + -5n) + -3(n + 5) = 15 Multiply 4 * 1 4n + 3(4n + -5n) + -3(n + 5) = 15 Combine like terms: 4n + -5n = -1n 4n + 3(-1n) + -3(n + 5) = 15 Remove parenthesis around (-1n) 4n + 3 * -1n + -3(n + 5) = 15 Multiply 3 * -1 4n + -3n + -3(n + 5) = 15 Reorder the terms: 4n + -3n + -3(5 + n) = 15 4n + -3n + (5 * -3 + n * -3) = 15 4n + -3n + (-15 + -3n) = 15 Reorder the terms: -15 + 4n + -3n + -3n = 15 Combine like terms: 4n + -3n = 1n -15 + 1n + -3n = 15 Combine like terms: 1n + -3n = -2n -15 + -2n = 15 Solving -15 + -2n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = 15 + 15 -2n = 15 + 15 Combine like terms: 15 + 15 = 30 -2n = 30 Divide each side by '-2'. n = -15 Simplifying n = -15
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