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Simplifying -7(-9 + 9) = 9(-9 + -5) + -14k Combine like terms: -9 + 9 = 0 -7(0) = 9(-9 + -5) + -14k Multiply -7 * 0 0 = 9(-9 + -5) + -14k Anything times zero is zero. 0 = 9(-9 + -5) + -14k Combine like terms: -9 + -5 = -14 0 = 9(-14) + -14k Multiply 9 * -14 0 = -126 + -14k Solving 0 = -126 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 0 + 14k = -126 + -14k + 14k Remove the zero: 14k = -126 + -14k + 14k Combine like terms: -14k + 14k = 0 14k = -126 + 0 14k = -126 Divide each side by '14'. k = -9 Simplifying k = -9
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