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Simplifying 6(k + 2) + -4(k + 3) = 7 Reorder the terms: 6(2 + k) + -4(k + 3) = 7 (2 * 6 + k * 6) + -4(k + 3) = 7 (12 + 6k) + -4(k + 3) = 7 Reorder the terms: 12 + 6k + -4(3 + k) = 7 12 + 6k + (3 * -4 + k * -4) = 7 12 + 6k + (-12 + -4k) = 7 Reorder the terms: 12 + -12 + 6k + -4k = 7 Combine like terms: 12 + -12 = 0 0 + 6k + -4k = 7 6k + -4k = 7 Combine like terms: 6k + -4k = 2k 2k = 7 Solving 2k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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