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Simplifying 2 + 4(5k + -7) = -46 Reorder the terms: 2 + 4(-7 + 5k) = -46 2 + (-7 * 4 + 5k * 4) = -46 2 + (-28 + 20k) = -46 Combine like terms: 2 + -28 = -26 -26 + 20k = -46 Solving -26 + 20k = -46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 20k = -46 + 26 Combine like terms: -26 + 26 = 0 0 + 20k = -46 + 26 20k = -46 + 26 Combine like terms: -46 + 26 = -20 20k = -20 Divide each side by '20'. k = -1 Simplifying k = -1
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