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Simplifying 3(k + -2) + -2k = 5 + -4(k + 7) Reorder the terms: 3(-2 + k) + -2k = 5 + -4(k + 7) (-2 * 3 + k * 3) + -2k = 5 + -4(k + 7) (-6 + 3k) + -2k = 5 + -4(k + 7) Combine like terms: 3k + -2k = 1k -6 + 1k = 5 + -4(k + 7) Reorder the terms: -6 + 1k = 5 + -4(7 + k) -6 + 1k = 5 + (7 * -4 + k * -4) -6 + 1k = 5 + (-28 + -4k) Combine like terms: 5 + -28 = -23 -6 + 1k = -23 + -4k Solving -6 + 1k = -23 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -6 + 1k + 4k = -23 + -4k + 4k Combine like terms: 1k + 4k = 5k -6 + 5k = -23 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + 5k = -23 + 0 -6 + 5k = -23 Add '6' to each side of the equation. -6 + 6 + 5k = -23 + 6 Combine like terms: -6 + 6 = 0 0 + 5k = -23 + 6 5k = -23 + 6 Combine like terms: -23 + 6 = -17 5k = -17 Divide each side by '5'. k = -3.4 Simplifying k = -3.4
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