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Simplifying (4k + -6) + -1(3k + 2) = -5 Reorder the terms: (-6 + 4k) + -1(3k + 2) = -5 Remove parenthesis around (-6 + 4k) -6 + 4k + -1(3k + 2) = -5 Reorder the terms: -6 + 4k + -1(2 + 3k) = -5 -6 + 4k + (2 * -1 + 3k * -1) = -5 -6 + 4k + (-2 + -3k) = -5 Reorder the terms: -6 + -2 + 4k + -3k = -5 Combine like terms: -6 + -2 = -8 -8 + 4k + -3k = -5 Combine like terms: 4k + -3k = 1k -8 + 1k = -5 Solving -8 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1k = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = -5 + 8 1k = -5 + 8 Combine like terms: -5 + 8 = 3 1k = 3 Divide each side by '1'. k = 3 Simplifying k = 3
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