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Simplifying 4(6k + -4) = 8(1 + 4k) Reorder the terms: 4(-4 + 6k) = 8(1 + 4k) (-4 * 4 + 6k * 4) = 8(1 + 4k) (-16 + 24k) = 8(1 + 4k) -16 + 24k = (1 * 8 + 4k * 8) -16 + 24k = (8 + 32k) Solving -16 + 24k = 8 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -16 + 24k + -32k = 8 + 32k + -32k Combine like terms: 24k + -32k = -8k -16 + -8k = 8 + 32k + -32k Combine like terms: 32k + -32k = 0 -16 + -8k = 8 + 0 -16 + -8k = 8 Add '16' to each side of the equation. -16 + 16 + -8k = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -8k = 8 + 16 -8k = 8 + 16 Combine like terms: 8 + 16 = 24 -8k = 24 Divide each side by '-8'. k = -3 Simplifying k = -3
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