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Simplifying -7(4 + 6k) = -4(9x + -11) + 9 (4 * -7 + 6k * -7) = -4(9x + -11) + 9 (-28 + -42k) = -4(9x + -11) + 9 Reorder the terms: -28 + -42k = -4(-11 + 9x) + 9 -28 + -42k = (-11 * -4 + 9x * -4) + 9 -28 + -42k = (44 + -36x) + 9 Reorder the terms: -28 + -42k = 44 + 9 + -36x Combine like terms: 44 + 9 = 53 -28 + -42k = 53 + -36x Solving -28 + -42k = 53 + -36x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -42k = 53 + 28 + -36x Combine like terms: -28 + 28 = 0 0 + -42k = 53 + 28 + -36x -42k = 53 + 28 + -36x Combine like terms: 53 + 28 = 81 -42k = 81 + -36x Divide each side by '-42'. k = -1.928571429 + 0.8571428571x Simplifying k = -1.928571429 + 0.8571428571x
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