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Simplifying 3 + -8(2k + 7) = -1(5 + 8k) + 8k Reorder the terms: 3 + -8(7 + 2k) = -1(5 + 8k) + 8k 3 + (7 * -8 + 2k * -8) = -1(5 + 8k) + 8k 3 + (-56 + -16k) = -1(5 + 8k) + 8k Combine like terms: 3 + -56 = -53 -53 + -16k = -1(5 + 8k) + 8k -53 + -16k = (5 * -1 + 8k * -1) + 8k -53 + -16k = (-5 + -8k) + 8k Combine like terms: -8k + 8k = 0 -53 + -16k = -5 + 0 -53 + -16k = -5 Solving -53 + -16k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -16k = -5 + 53 Combine like terms: -53 + 53 = 0 0 + -16k = -5 + 53 -16k = -5 + 53 Combine like terms: -5 + 53 = 48 -16k = 48 Divide each side by '-16'. k = -3 Simplifying k = -3
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