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Simplifying 8k + 4(4k + -3) = 4(6X + 4) + -4 Reorder the terms: 8k + 4(-3 + 4k) = 4(6X + 4) + -4 8k + (-3 * 4 + 4k * 4) = 4(6X + 4) + -4 8k + (-12 + 16k) = 4(6X + 4) + -4 Reorder the terms: -12 + 8k + 16k = 4(6X + 4) + -4 Combine like terms: 8k + 16k = 24k -12 + 24k = 4(6X + 4) + -4 Reorder the terms: -12 + 24k = 4(4 + 6X) + -4 -12 + 24k = (4 * 4 + 6X * 4) + -4 -12 + 24k = (16 + 24X) + -4 Reorder the terms: -12 + 24k = 16 + -4 + 24X Combine like terms: 16 + -4 = 12 -12 + 24k = 12 + 24X Solving -12 + 24k = 12 + 24X Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24k = 12 + 12 + 24X Combine like terms: -12 + 12 = 0 0 + 24k = 12 + 12 + 24X 24k = 12 + 12 + 24X Combine like terms: 12 + 12 = 24 24k = 24 + 24X Divide each side by '24'. k = 1 + X Simplifying k = 1 + X
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