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Simplifying -3(k + 7) + -1(-4k + 6) = -7 Reorder the terms: -3(7 + k) + -1(-4k + 6) = -7 (7 * -3 + k * -3) + -1(-4k + 6) = -7 (-21 + -3k) + -1(-4k + 6) = -7 Reorder the terms: -21 + -3k + -1(6 + -4k) = -7 -21 + -3k + (6 * -1 + -4k * -1) = -7 -21 + -3k + (-6 + 4k) = -7 Reorder the terms: -21 + -6 + -3k + 4k = -7 Combine like terms: -21 + -6 = -27 -27 + -3k + 4k = -7 Combine like terms: -3k + 4k = 1k -27 + 1k = -7 Solving -27 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1k = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 1k = -7 + 27 1k = -7 + 27 Combine like terms: -7 + 27 = 20 1k = 20 Divide each side by '1'. k = 20 Simplifying k = 20
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