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Simplifying 2(4k + -6) + -3(k + 7) = 0 Reorder the terms: 2(-6 + 4k) + -3(k + 7) = 0 (-6 * 2 + 4k * 2) + -3(k + 7) = 0 (-12 + 8k) + -3(k + 7) = 0 Reorder the terms: -12 + 8k + -3(7 + k) = 0 -12 + 8k + (7 * -3 + k * -3) = 0 -12 + 8k + (-21 + -3k) = 0 Reorder the terms: -12 + -21 + 8k + -3k = 0 Combine like terms: -12 + -21 = -33 -33 + 8k + -3k = 0 Combine like terms: 8k + -3k = 5k -33 + 5k = 0 Solving -33 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 5k = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 5k = 0 + 33 5k = 0 + 33 Combine like terms: 0 + 33 = 33 5k = 33 Divide each side by '5'. k = 6.6 Simplifying k = 6.6
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