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Simplifying -6(k + 3) + -1(9k + -7) = -16k Reorder the terms: -6(3 + k) + -1(9k + -7) = -16k (3 * -6 + k * -6) + -1(9k + -7) = -16k (-18 + -6k) + -1(9k + -7) = -16k Reorder the terms: -18 + -6k + -1(-7 + 9k) = -16k -18 + -6k + (-7 * -1 + 9k * -1) = -16k -18 + -6k + (7 + -9k) = -16k Reorder the terms: -18 + 7 + -6k + -9k = -16k Combine like terms: -18 + 7 = -11 -11 + -6k + -9k = -16k Combine like terms: -6k + -9k = -15k -11 + -15k = -16k Solving -11 + -15k = -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -11 + -15k + 16k = -16k + 16k Combine like terms: -15k + 16k = 1k -11 + 1k = -16k + 16k Combine like terms: -16k + 16k = 0 -11 + 1k = 0 Add '11' to each side of the equation. -11 + 11 + 1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1k = 0 + 11 1k = 0 + 11 Combine like terms: 0 + 11 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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