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Simplifying 4(6k + -2) + -7(k + -4) = -31 Reorder the terms: 4(-2 + 6k) + -7(k + -4) = -31 (-2 * 4 + 6k * 4) + -7(k + -4) = -31 (-8 + 24k) + -7(k + -4) = -31 Reorder the terms: -8 + 24k + -7(-4 + k) = -31 -8 + 24k + (-4 * -7 + k * -7) = -31 -8 + 24k + (28 + -7k) = -31 Reorder the terms: -8 + 28 + 24k + -7k = -31 Combine like terms: -8 + 28 = 20 20 + 24k + -7k = -31 Combine like terms: 24k + -7k = 17k 20 + 17k = -31 Solving 20 + 17k = -31 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 17k = -31 + -20 Combine like terms: 20 + -20 = 0 0 + 17k = -31 + -20 17k = -31 + -20 Combine like terms: -31 + -20 = -51 17k = -51 Divide each side by '17'. k = -3 Simplifying k = -3
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