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Simplifying -15(k + 15) = -270 Reorder the terms: -15(15 + k) = -270 (15 * -15 + k * -15) = -270 (-225 + -15k) = -270 Solving -225 + -15k = -270 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + -15k = -270 + 225 Combine like terms: -225 + 225 = 0 0 + -15k = -270 + 225 -15k = -270 + 225 Combine like terms: -270 + 225 = -45 -15k = -45 Divide each side by '-15'. k = 3 Simplifying k = 3
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