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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 = -53k -64 + -53k = 22 + 5k + -5k Combine like terms: 5k + -5k = 0 -64 + -53k = 22 + 0 -64 + -53k = 22 Add '64' to each side of the equation. -64 + 64 + -53k = 22 + 64 Combine like terms: -64 + 64 = 0 0 + -53k = 22 + 64 -53k = 22 + 64 Combine like terms: 22 + 64 = 86 -53k = 86 Divide each side by '-53'. k = -1.622641509 Simplifying k = -1.622641509
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