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Simplifying 8(k + -2) + -8k = 4(8 + 4k) Reorder the terms: 8(-2 + k) + -8k = 4(8 + 4k) (-2 * 8 + k * 8) + -8k = 4(8 + 4k) (-16 + 8k) + -8k = 4(8 + 4k) Combine like terms: 8k + -8k = 0 -16 + 0 = 4(8 + 4k) -16 = 4(8 + 4k) -16 = (8 * 4 + 4k * 4) -16 = (32 + 16k) Solving -16 = 32 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -16 + -16k = 32 + 16k + -16k Combine like terms: 16k + -16k = 0 -16 + -16k = 32 + 0 -16 + -16k = 32 Add '16' to each side of the equation. -16 + 16 + -16k = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -16k = 32 + 16 -16k = 32 + 16 Combine like terms: 32 + 16 = 48 -16k = 48 Divide each side by '-16'. k = -3 Simplifying k = -3
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