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Simplifying 6(4k + 3) + 8(6 + -2k) = 0 Reorder the terms: 6(3 + 4k) + 8(6 + -2k) = 0 (3 * 6 + 4k * 6) + 8(6 + -2k) = 0 (18 + 24k) + 8(6 + -2k) = 0 18 + 24k + (6 * 8 + -2k * 8) = 0 18 + 24k + (48 + -16k) = 0 Reorder the terms: 18 + 48 + 24k + -16k = 0 Combine like terms: 18 + 48 = 66 66 + 24k + -16k = 0 Combine like terms: 24k + -16k = 8k 66 + 8k = 0 Solving 66 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 8k = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 8k = 0 + -66 8k = 0 + -66 Combine like terms: 0 + -66 = -66 8k = -66 Divide each side by '8'. k = -8.25 Simplifying k = -8.25
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