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Simplifying 8k(4 + -6) + -2k = 16(3 + -1k) Combine like terms: 4 + -6 = -2 8k(-2) + -2k = 16(3 + -1k) Reorder the terms for easier multiplication: 8 * -2k + -2k = 16(3 + -1k) Multiply 8 * -2 -16k + -2k = 16(3 + -1k) Combine like terms: -16k + -2k = -18k -18k = 16(3 + -1k) -18k = (3 * 16 + -1k * 16) -18k = (48 + -16k) Solving -18k = 48 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -18k + 16k = 48 + -16k + 16k Combine like terms: -18k + 16k = -2k -2k = 48 + -16k + 16k Combine like terms: -16k + 16k = 0 -2k = 48 + 0 -2k = 48 Divide each side by '-2'. k = -24 Simplifying k = -24
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