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Simplifying -7 + 3(1 + 5k) = -27 -7 + (1 * 3 + 5k * 3) = -27 -7 + (3 + 15k) = -27 Combine like terms: -7 + 3 = -4 -4 + 15k = -27 Solving -4 + 15k = -27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15k = -27 + 4 Combine like terms: -4 + 4 = 0 0 + 15k = -27 + 4 15k = -27 + 4 Combine like terms: -27 + 4 = -23 15k = -23 Divide each side by '15'. k = -1.533333333 Simplifying k = -1.533333333
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