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Simplifying (2k + 6) + -1(3k + -4) = 4 Reorder the terms: (6 + 2k) + -1(3k + -4) = 4 Remove parenthesis around (6 + 2k) 6 + 2k + -1(3k + -4) = 4 Reorder the terms: 6 + 2k + -1(-4 + 3k) = 4 6 + 2k + (-4 * -1 + 3k * -1) = 4 6 + 2k + (4 + -3k) = 4 Reorder the terms: 6 + 4 + 2k + -3k = 4 Combine like terms: 6 + 4 = 10 10 + 2k + -3k = 4 Combine like terms: 2k + -3k = -1k 10 + -1k = 4 Solving 10 + -1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1k = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 4 + -10 -1k = 4 + -10 Combine like terms: 4 + -10 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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