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Simplifying -7(k + 8) + -1(7 + 8k) = -16k Reorder the terms: -7(8 + k) + -1(7 + 8k) = -16k (8 * -7 + k * -7) + -1(7 + 8k) = -16k (-56 + -7k) + -1(7 + 8k) = -16k -56 + -7k + (7 * -1 + 8k * -1) = -16k -56 + -7k + (-7 + -8k) = -16k Reorder the terms: -56 + -7 + -7k + -8k = -16k Combine like terms: -56 + -7 = -63 -63 + -7k + -8k = -16k Combine like terms: -7k + -8k = -15k -63 + -15k = -16k Solving -63 + -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. -63 + -15k + 16k = -16k + 16k Combine like terms: -15k + 16k = 1k -63 + 1k = -16k + 16k Combine like terms: -16k + 16k = 0 -63 + 1k = 0 Add '63' to each side of the equation. -63 + 63 + 1k = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 1k = 0 + 63 1k = 0 + 63 Combine like terms: 0 + 63 = 63 1k = 63 Divide each side by '1'. k = 63 Simplifying k = 63
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