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Simplifying 3(n + -5) + -1(6 + -2) = 4n Reorder the terms: 3(-5 + n) + -1(6 + -2) = 4n (-5 * 3 + n * 3) + -1(6 + -2) = 4n (-15 + 3n) + -1(6 + -2) = 4n Combine like terms: 6 + -2 = 4 -15 + 3n + -1(4) = 4n Multiply -1 * 4 -15 + 3n + -4 = 4n Reorder the terms: -15 + -4 + 3n = 4n Combine like terms: -15 + -4 = -19 -19 + 3n = 4n Solving -19 + 3n = 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. -19 + 3n + -4n = 4n + -4n Combine like terms: 3n + -4n = -1n -19 + -1n = 4n + -4n Combine like terms: 4n + -4n = 0 -19 + -1n = 0 Add '19' to each side of the equation. -19 + 19 + -1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1n = 0 + 19 -1n = 0 + 19 Combine like terms: 0 + 19 = 19 -1n = 19 Divide each side by '-1'. n = -19 Simplifying n = -19
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