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Simplifying -4(3 + -4k) = 10k + 36 (3 * -4 + -4k * -4) = 10k + 36 (-12 + 16k) = 10k + 36 Reorder the terms: -12 + 16k = 36 + 10k Solving -12 + 16k = 36 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -12 + 16k + -10k = 36 + 10k + -10k Combine like terms: 16k + -10k = 6k -12 + 6k = 36 + 10k + -10k Combine like terms: 10k + -10k = 0 -12 + 6k = 36 + 0 -12 + 6k = 36 Add '12' to each side of the equation. -12 + 12 + 6k = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 6k = 36 + 12 6k = 36 + 12 Combine like terms: 36 + 12 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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