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Simplifying 2(k + 4) + 4(k + -3) = 26 Reorder the terms: 2(4 + k) + 4(k + -3) = 26 (4 * 2 + k * 2) + 4(k + -3) = 26 (8 + 2k) + 4(k + -3) = 26 Reorder the terms: 8 + 2k + 4(-3 + k) = 26 8 + 2k + (-3 * 4 + k * 4) = 26 8 + 2k + (-12 + 4k) = 26 Reorder the terms: 8 + -12 + 2k + 4k = 26 Combine like terms: 8 + -12 = -4 -4 + 2k + 4k = 26 Combine like terms: 2k + 4k = 6k -4 + 6k = 26 Solving -4 + 6k = 26 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6k = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 26 + 4 6k = 26 + 4 Combine like terms: 26 + 4 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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