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Simplifying 5(n + -1) + -3n = -3(-4 + 6n) + 3n Reorder the terms: 5(-1 + n) + -3n = -3(-4 + 6n) + 3n (-1 * 5 + n * 5) + -3n = -3(-4 + 6n) + 3n (-5 + 5n) + -3n = -3(-4 + 6n) + 3n Combine like terms: 5n + -3n = 2n -5 + 2n = -3(-4 + 6n) + 3n -5 + 2n = (-4 * -3 + 6n * -3) + 3n -5 + 2n = (12 + -18n) + 3n Combine like terms: -18n + 3n = -15n -5 + 2n = 12 + -15n Solving -5 + 2n = 12 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -5 + 2n + 15n = 12 + -15n + 15n Combine like terms: 2n + 15n = 17n -5 + 17n = 12 + -15n + 15n Combine like terms: -15n + 15n = 0 -5 + 17n = 12 + 0 -5 + 17n = 12 Add '5' to each side of the equation. -5 + 5 + 17n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 17n = 12 + 5 17n = 12 + 5 Combine like terms: 12 + 5 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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