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Simplifying 5k + -1(2k + 7) = -2k + -4 Reorder the terms: 5k + -1(7 + 2k) = -2k + -4 5k + (7 * -1 + 2k * -1) = -2k + -4 5k + (-7 + -2k) = -2k + -4 Reorder the terms: -7 + 5k + -2k = -2k + -4 Combine like terms: 5k + -2k = 3k -7 + 3k = -2k + -4 Reorder the terms: -7 + 3k = -4 + -2k Solving -7 + 3k = -4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -7 + 3k + 2k = -4 + -2k + 2k Combine like terms: 3k + 2k = 5k -7 + 5k = -4 + -2k + 2k Combine like terms: -2k + 2k = 0 -7 + 5k = -4 + 0 -7 + 5k = -4 Add '7' to each side of the equation. -7 + 7 + 5k = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 5k = -4 + 7 5k = -4 + 7 Combine like terms: -4 + 7 = 3 5k = 3 Divide each side by '5'. k = 0.6 Simplifying k = 0.6
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