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Simplifying 5(6 + 8k) + -2(k + -4) = -38 (6 * 5 + 8k * 5) + -2(k + -4) = -38 (30 + 40k) + -2(k + -4) = -38 Reorder the terms: 30 + 40k + -2(-4 + k) = -38 30 + 40k + (-4 * -2 + k * -2) = -38 30 + 40k + (8 + -2k) = -38 Reorder the terms: 30 + 8 + 40k + -2k = -38 Combine like terms: 30 + 8 = 38 38 + 40k + -2k = -38 Combine like terms: 40k + -2k = 38k 38 + 38k = -38 Solving 38 + 38k = -38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 38k = -38 + -38 Combine like terms: 38 + -38 = 0 0 + 38k = -38 + -38 38k = -38 + -38 Combine like terms: -38 + -38 = -76 38k = -76 Divide each side by '38'. k = -2 Simplifying k = -2
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