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Simplifying 4k + -1(3k + -4) + -9 = 1 + -1(3 + -1k) + -7 Reorder the terms: 4k + -1(-4 + 3k) + -9 = 1 + -1(3 + -1k) + -7 4k + (-4 * -1 + 3k * -1) + -9 = 1 + -1(3 + -1k) + -7 4k + (4 + -3k) + -9 = 1 + -1(3 + -1k) + -7 Reorder the terms: 4 + -9 + 4k + -3k = 1 + -1(3 + -1k) + -7 Combine like terms: 4 + -9 = -5 -5 + 4k + -3k = 1 + -1(3 + -1k) + -7 Combine like terms: 4k + -3k = 1k -5 + 1k = 1 + -1(3 + -1k) + -7 -5 + 1k = 1 + (3 * -1 + -1k * -1) + -7 -5 + 1k = 1 + (-3 + 1k) + -7 Reorder the terms: -5 + 1k = 1 + -3 + -7 + 1k Combine like terms: 1 + -3 = -2 -5 + 1k = -2 + -7 + 1k Combine like terms: -2 + -7 = -9 -5 + 1k = -9 + 1k Add '-1k' to each side of the equation. -5 + 1k + -1k = -9 + 1k + -1k Combine like terms: 1k + -1k = 0 -5 + 0 = -9 + 1k + -1k -5 = -9 + 1k + -1k Combine like terms: 1k + -1k = 0 -5 = -9 + 0 -5 = -9 Solving -5 = -9 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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