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Simplifying 2(k + -12) + -5(k + 2) = -9k + 4k Reorder the terms: 2(-12 + k) + -5(k + 2) = -9k + 4k (-12 * 2 + k * 2) + -5(k + 2) = -9k + 4k (-24 + 2k) + -5(k + 2) = -9k + 4k Reorder the terms: -24 + 2k + -5(2 + k) = -9k + 4k -24 + 2k + (2 * -5 + k * -5) = -9k + 4k -24 + 2k + (-10 + -5k) = -9k + 4k Reorder the terms: -24 + -10 + 2k + -5k = -9k + 4k Combine like terms: -24 + -10 = -34 -34 + 2k + -5k = -9k + 4k Combine like terms: 2k + -5k = -3k -34 + -3k = -9k + 4k Combine like terms: -9k + 4k = -5k -34 + -3k = -5k Solving -34 + -3k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -34 + -3k + 5k = -5k + 5k Combine like terms: -3k + 5k = 2k -34 + 2k = -5k + 5k Combine like terms: -5k + 5k = 0 -34 + 2k = 0 Add '34' to each side of the equation. -34 + 34 + 2k = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 2k = 0 + 34 2k = 0 + 34 Combine like terms: 0 + 34 = 34 2k = 34 Divide each side by '2'. k = 17 Simplifying k = 17
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