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Simplifying -6(6k + 7) = 2k + -4 Reorder the terms: -6(7 + 6k) = 2k + -4 (7 * -6 + 6k * -6) = 2k + -4 (-42 + -36k) = 2k + -4 Reorder the terms: -42 + -36k = -4 + 2k Solving -42 + -36k = -4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -42 + -36k + -2k = -4 + 2k + -2k Combine like terms: -36k + -2k = -38k -42 + -38k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -42 + -38k = -4 + 0 -42 + -38k = -4 Add '42' to each side of the equation. -42 + 42 + -38k = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -38k = -4 + 42 -38k = -4 + 42 Combine like terms: -4 + 42 = 38 -38k = 38 Divide each side by '-38'. k = -1 Simplifying k = -1
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