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Simplifying 7(1 + 5n) + -8(6n + 4) = 1 + -8n + -5n + -8 (1 * 7 + 5n * 7) + -8(6n + 4) = 1 + -8n + -5n + -8 (7 + 35n) + -8(6n + 4) = 1 + -8n + -5n + -8 Reorder the terms: 7 + 35n + -8(4 + 6n) = 1 + -8n + -5n + -8 7 + 35n + (4 * -8 + 6n * -8) = 1 + -8n + -5n + -8 7 + 35n + (-32 + -48n) = 1 + -8n + -5n + -8 Reorder the terms: 7 + -32 + 35n + -48n = 1 + -8n + -5n + -8 Combine like terms: 7 + -32 = -25 -25 + 35n + -48n = 1 + -8n + -5n + -8 Combine like terms: 35n + -48n = -13n -25 + -13n = 1 + -8n + -5n + -8 Reorder the terms: -25 + -13n = 1 + -8 + -8n + -5n Combine like terms: 1 + -8 = -7 -25 + -13n = -7 + -8n + -5n Combine like terms: -8n + -5n = -13n -25 + -13n = -7 + -13n Add '13n' to each side of the equation. -25 + -13n + 13n = -7 + -13n + 13n Combine like terms: -13n + 13n = 0 -25 + 0 = -7 + -13n + 13n -25 = -7 + -13n + 13n Combine like terms: -13n + 13n = 0 -25 = -7 + 0 -25 = -7 Solving -25 = -7 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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