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Simplifying -1(2k + -11) * 7 = 7 Reorder the terms: -1(-11 + 2k) * 7 = 7 Reorder the terms for easier multiplication: -1 * 7(-11 + 2k) = 7 Multiply -1 * 7 -7(-11 + 2k) = 7 (-11 * -7 + 2k * -7) = 7 (77 + -14k) = 7 Solving 77 + -14k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -14k = 7 + -77 Combine like terms: 77 + -77 = 0 0 + -14k = 7 + -77 -14k = 7 + -77 Combine like terms: 7 + -77 = -70 -14k = -70 Divide each side by '-14'. k = 5 Simplifying k = 5
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