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Simplifying 8(-8 + -6k) = -5k + 22 (-8 * 8 + -6k * 8) = -5k + 22 (-64 + -48k) = -5k + 22 Reorder the terms: -64 + -48k = 22 + -5k Solving -64 + -48k = 22 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -64 + -48k + 5k = 22 + -5k + 5k Combine like terms: -48k + 5k = -43k -64 + -43k = 22 + -5k + 5k Combine like terms: -5k + 5k = 0 -64 + -43k = 22 + 0 -64 + -43k = 22 Add '64' to each side of the equation. -64 + 64 + -43k = 22 + 64 Combine like terms: -64 + 64 = 0 0 + -43k = 22 + 64 -43k = 22 + 64 Combine like terms: 22 + 64 = 86 -43k = 86 Divide each side by '-43'. k = -2 Simplifying k = -2
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