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Simplifying 2(k + -4) = 4(2k + 1) Reorder the terms: 2(-4 + k) = 4(2k + 1) (-4 * 2 + k * 2) = 4(2k + 1) (-8 + 2k) = 4(2k + 1) Reorder the terms: -8 + 2k = 4(1 + 2k) -8 + 2k = (1 * 4 + 2k * 4) -8 + 2k = (4 + 8k) Solving -8 + 2k = 4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -8 + 2k + -8k = 4 + 8k + -8k Combine like terms: 2k + -8k = -6k -8 + -6k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 -8 + -6k = 4 + 0 -8 + -6k = 4 Add '8' to each side of the equation. -8 + 8 + -6k = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -6k = 4 + 8 -6k = 4 + 8 Combine like terms: 4 + 8 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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