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Simplifying 3(k + -2) + -2k = 6 + -4(k + 7) Reorder the terms: 3(-2 + k) + -2k = 6 + -4(k + 7) (-2 * 3 + k * 3) + -2k = 6 + -4(k + 7) (-6 + 3k) + -2k = 6 + -4(k + 7) Combine like terms: 3k + -2k = 1k -6 + 1k = 6 + -4(k + 7) Reorder the terms: -6 + 1k = 6 + -4(7 + k) -6 + 1k = 6 + (7 * -4 + k * -4) -6 + 1k = 6 + (-28 + -4k) Combine like terms: 6 + -28 = -22 -6 + 1k = -22 + -4k Solving -6 + 1k = -22 + -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 = -22 + -4k + 4k Combine like terms: 1k + 4k = 5k -6 + 5k = -22 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + 5k = -22 + 0 -6 + 5k = -22 Add '6' to each side of the equation. -6 + 6 + 5k = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 5k = -22 + 6 5k = -22 + 6 Combine like terms: -22 + 6 = -16 5k = -16 Divide each side by '5'. k = -3.2 Simplifying k = -3.2
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