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Simplifying 8(n + -1) + 2(-3n + -4) = n + 8 + n + 8 Reorder the terms: 8(-1 + n) + 2(-3n + -4) = n + 8 + n + 8 (-1 * 8 + n * 8) + 2(-3n + -4) = n + 8 + n + 8 (-8 + 8n) + 2(-3n + -4) = n + 8 + n + 8 Reorder the terms: -8 + 8n + 2(-4 + -3n) = n + 8 + n + 8 -8 + 8n + (-4 * 2 + -3n * 2) = n + 8 + n + 8 -8 + 8n + (-8 + -6n) = n + 8 + n + 8 Reorder the terms: -8 + -8 + 8n + -6n = n + 8 + n + 8 Combine like terms: -8 + -8 = -16 -16 + 8n + -6n = n + 8 + n + 8 Combine like terms: 8n + -6n = 2n -16 + 2n = n + 8 + n + 8 Reorder the terms: -16 + 2n = 8 + 8 + n + n Combine like terms: 8 + 8 = 16 -16 + 2n = 16 + n + n Combine like terms: n + n = 2n -16 + 2n = 16 + 2n Add '-2n' to each side of the equation. -16 + 2n + -2n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 0 = 16 + 2n + -2n -16 = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 = 16 + 0 -16 = 16 Solving -16 = 16 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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