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Simplifying 3(4k + -4) + -2(k + 8) = 0 Reorder the terms: 3(-4 + 4k) + -2(k + 8) = 0 (-4 * 3 + 4k * 3) + -2(k + 8) = 0 (-12 + 12k) + -2(k + 8) = 0 Reorder the terms: -12 + 12k + -2(8 + k) = 0 -12 + 12k + (8 * -2 + k * -2) = 0 -12 + 12k + (-16 + -2k) = 0 Reorder the terms: -12 + -16 + 12k + -2k = 0 Combine like terms: -12 + -16 = -28 -28 + 12k + -2k = 0 Combine like terms: 12k + -2k = 10k -28 + 10k = 0 Solving -28 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 10k = 0 + 28 10k = 0 + 28 Combine like terms: 0 + 28 = 28 10k = 28 Divide each side by '10'. k = 2.8 Simplifying k = 2.8
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