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Simplifying 4(-16 + 8k) = -28 + 23K (-16 * 4 + 8k * 4) = -28 + 23K (-64 + 32k) = -28 + 23K Solving -64 + 32k = -28 + 23K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 32k = -28 + 64 + 23K Combine like terms: -64 + 64 = 0 0 + 32k = -28 + 64 + 23K 32k = -28 + 64 + 23K Combine like terms: -28 + 64 = 36 32k = 36 + 23K Divide each side by '32'. k = 1.125 + 0.71875K Simplifying k = 1.125 + 0.71875K
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