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Simplifying 5 + 4(-5 + 8k) = 177 5 + (-5 * 4 + 8k * 4) = 177 5 + (-20 + 32k) = 177 Combine like terms: 5 + -20 = -15 -15 + 32k = 177 Solving -15 + 32k = 177 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 32k = 177 + 15 Combine like terms: -15 + 15 = 0 0 + 32k = 177 + 15 32k = 177 + 15 Combine like terms: 177 + 15 = 192 32k = 192 Divide each side by '32'. k = 6 Simplifying k = 6
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