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Simplifying -3(5k + 7) + -1(1 + -9k) = 0 Reorder the terms: -3(7 + 5k) + -1(1 + -9k) = 0 (7 * -3 + 5k * -3) + -1(1 + -9k) = 0 (-21 + -15k) + -1(1 + -9k) = 0 -21 + -15k + (1 * -1 + -9k * -1) = 0 -21 + -15k + (-1 + 9k) = 0 Reorder the terms: -21 + -1 + -15k + 9k = 0 Combine like terms: -21 + -1 = -22 -22 + -15k + 9k = 0 Combine like terms: -15k + 9k = -6k -22 + -6k = 0 Solving -22 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6k = 0 + 22 -6k = 0 + 22 Combine like terms: 0 + 22 = 22 -6k = 22 Divide each side by '-6'. k = -3.666666667 Simplifying k = -3.666666667
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