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Simplifying 4(k + -3) + -1(3k + 7) = -8 Reorder the terms: 4(-3 + k) + -1(3k + 7) = -8 (-3 * 4 + k * 4) + -1(3k + 7) = -8 (-12 + 4k) + -1(3k + 7) = -8 Reorder the terms: -12 + 4k + -1(7 + 3k) = -8 -12 + 4k + (7 * -1 + 3k * -1) = -8 -12 + 4k + (-7 + -3k) = -8 Reorder the terms: -12 + -7 + 4k + -3k = -8 Combine like terms: -12 + -7 = -19 -19 + 4k + -3k = -8 Combine like terms: 4k + -3k = 1k -19 + 1k = -8 Solving -19 + 1k = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1k = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 1k = -8 + 19 1k = -8 + 19 Combine like terms: -8 + 19 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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