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Simplifying 8(2k + -1) + -1(4k + -3) = 12k + -5 Reorder the terms: 8(-1 + 2k) + -1(4k + -3) = 12k + -5 (-1 * 8 + 2k * 8) + -1(4k + -3) = 12k + -5 (-8 + 16k) + -1(4k + -3) = 12k + -5 Reorder the terms: -8 + 16k + -1(-3 + 4k) = 12k + -5 -8 + 16k + (-3 * -1 + 4k * -1) = 12k + -5 -8 + 16k + (3 + -4k) = 12k + -5 Reorder the terms: -8 + 3 + 16k + -4k = 12k + -5 Combine like terms: -8 + 3 = -5 -5 + 16k + -4k = 12k + -5 Combine like terms: 16k + -4k = 12k -5 + 12k = 12k + -5 Reorder the terms: -5 + 12k = -5 + 12k Add '5' to each side of the equation. -5 + 5 + 12k = -5 + 5 + 12k Combine like terms: -5 + 5 = 0 0 + 12k = -5 + 5 + 12k 12k = -5 + 5 + 12k Combine like terms: -5 + 5 = 0 12k = 0 + 12k 12k = 12k Add '-12k' to each side of the equation. 12k + -12k = 12k + -12k Combine like terms: 12k + -12k = 0 0 = 12k + -12k Combine like terms: 12k + -12k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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