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Simplifying 4(4k + -8) = 4(k + -5) Reorder the terms: 4(-8 + 4k) = 4(k + -5) (-8 * 4 + 4k * 4) = 4(k + -5) (-32 + 16k) = 4(k + -5) Reorder the terms: -32 + 16k = 4(-5 + k) -32 + 16k = (-5 * 4 + k * 4) -32 + 16k = (-20 + 4k) Solving -32 + 16k = -20 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -32 + 16k + -4k = -20 + 4k + -4k Combine like terms: 16k + -4k = 12k -32 + 12k = -20 + 4k + -4k Combine like terms: 4k + -4k = 0 -32 + 12k = -20 + 0 -32 + 12k = -20 Add '32' to each side of the equation. -32 + 32 + 12k = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 12k = -20 + 32 12k = -20 + 32 Combine like terms: -20 + 32 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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