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Simplifying 5n + -1(3 + x) = 2(3x + 1) 5n + (3 * -1 + x * -1) = 2(3x + 1) 5n + (-3 + -1x) = 2(3x + 1) Reorder the terms: -3 + 5n + -1x = 2(3x + 1) Reorder the terms: -3 + 5n + -1x = 2(1 + 3x) -3 + 5n + -1x = (1 * 2 + 3x * 2) -3 + 5n + -1x = (2 + 6x) Solving -3 + 5n + -1x = 2 + 6x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5n + 3 + -1x = 2 + 3 + 6x Reorder the terms: -3 + 3 + 5n + -1x = 2 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + 5n + -1x = 2 + 3 + 6x 5n + -1x = 2 + 3 + 6x Combine like terms: 2 + 3 = 5 5n + -1x = 5 + 6x Add 'x' to each side of the equation. 5n + -1x + x = 5 + 6x + x Combine like terms: -1x + x = 0 5n + 0 = 5 + 6x + x 5n = 5 + 6x + x Combine like terms: 6x + x = 7x 5n = 5 + 7x Divide each side by '5'. n = 1 + 1.4x Simplifying n = 1 + 1.4x
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