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Simplifying 7(-1k + -9) = -4(k + 6) Reorder the terms: 7(-9 + -1k) = -4(k + 6) (-9 * 7 + -1k * 7) = -4(k + 6) (-63 + -7k) = -4(k + 6) Reorder the terms: -63 + -7k = -4(6 + k) -63 + -7k = (6 * -4 + k * -4) -63 + -7k = (-24 + -4k) Solving -63 + -7k = -24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -63 + -7k + 4k = -24 + -4k + 4k Combine like terms: -7k + 4k = -3k -63 + -3k = -24 + -4k + 4k Combine like terms: -4k + 4k = 0 -63 + -3k = -24 + 0 -63 + -3k = -24 Add '63' to each side of the equation. -63 + 63 + -3k = -24 + 63 Combine like terms: -63 + 63 = 0 0 + -3k = -24 + 63 -3k = -24 + 63 Combine like terms: -24 + 63 = 39 -3k = 39 Divide each side by '-3'. k = -13 Simplifying k = -13
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