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Simplifying 5n + n = 4(2n + -5) + -2(n + -7) Combine like terms: 5n + n = 6n 6n = 4(2n + -5) + -2(n + -7) Reorder the terms: 6n = 4(-5 + 2n) + -2(n + -7) 6n = (-5 * 4 + 2n * 4) + -2(n + -7) 6n = (-20 + 8n) + -2(n + -7) Reorder the terms: 6n = -20 + 8n + -2(-7 + n) 6n = -20 + 8n + (-7 * -2 + n * -2) 6n = -20 + 8n + (14 + -2n) Reorder the terms: 6n = -20 + 14 + 8n + -2n Combine like terms: -20 + 14 = -6 6n = -6 + 8n + -2n Combine like terms: 8n + -2n = 6n 6n = -6 + 6n Add '-6n' to each side of the equation. 6n + -6n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 0 = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 0 = -6 + 0 0 = -6 Solving 0 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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