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Simplifying 2(3k + -5) + 5 = 6k + 12 Reorder the terms: 2(-5 + 3k) + 5 = 6k + 12 (-5 * 2 + 3k * 2) + 5 = 6k + 12 (-10 + 6k) + 5 = 6k + 12 Reorder the terms: -10 + 5 + 6k = 6k + 12 Combine like terms: -10 + 5 = -5 -5 + 6k = 6k + 12 Reorder the terms: -5 + 6k = 12 + 6k Add '-6k' to each side of the equation. -5 + 6k + -6k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 + 0 = 12 + 6k + -6k -5 = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 = 12 + 0 -5 = 12 Solving -5 = 12 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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