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Simplifying 5(n + -3) + -1(4 + -2n) = 6n Reorder the terms: 5(-3 + n) + -1(4 + -2n) = 6n (-3 * 5 + n * 5) + -1(4 + -2n) = 6n (-15 + 5n) + -1(4 + -2n) = 6n -15 + 5n + (4 * -1 + -2n * -1) = 6n -15 + 5n + (-4 + 2n) = 6n Reorder the terms: -15 + -4 + 5n + 2n = 6n Combine like terms: -15 + -4 = -19 -19 + 5n + 2n = 6n Combine like terms: 5n + 2n = 7n -19 + 7n = 6n Solving -19 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -19 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -19 + 1n = 6n + -6n Combine like terms: 6n + -6n = 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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