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Simplifying 8(k + -4) = 4 + -3k Reorder the terms: 8(-4 + k) = 4 + -3k (-4 * 8 + k * 8) = 4 + -3k (-32 + 8k) = 4 + -3k Solving -32 + 8k = 4 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -32 + 8k + 3k = 4 + -3k + 3k Combine like terms: 8k + 3k = 11k -32 + 11k = 4 + -3k + 3k Combine like terms: -3k + 3k = 0 -32 + 11k = 4 + 0 -32 + 11k = 4 Add '32' to each side of the equation. -32 + 32 + 11k = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 11k = 4 + 32 11k = 4 + 32 Combine like terms: 4 + 32 = 36 11k = 36 Divide each side by '11'. k = 3.272727273 Simplifying k = 3.272727273
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