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Simplifying 5(-4k + -6) + 8(k + -2) = -3k + -9k Reorder the terms: 5(-6 + -4k) + 8(k + -2) = -3k + -9k (-6 * 5 + -4k * 5) + 8(k + -2) = -3k + -9k (-30 + -20k) + 8(k + -2) = -3k + -9k Reorder the terms: -30 + -20k + 8(-2 + k) = -3k + -9k -30 + -20k + (-2 * 8 + k * 8) = -3k + -9k -30 + -20k + (-16 + 8k) = -3k + -9k Reorder the terms: -30 + -16 + -20k + 8k = -3k + -9k Combine like terms: -30 + -16 = -46 -46 + -20k + 8k = -3k + -9k Combine like terms: -20k + 8k = -12k -46 + -12k = -3k + -9k Combine like terms: -3k + -9k = -12k -46 + -12k = -12k Add '12k' to each side of the equation. -46 + -12k + 12k = -12k + 12k Combine like terms: -12k + 12k = 0 -46 + 0 = -12k + 12k -46 = -12k + 12k Combine like terms: -12k + 12k = 0 -46 = 0 Solving -46 = 0 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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