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Simplifying 5k + -12 + k = 4(k + -3) Reorder the terms: -12 + 5k + k = 4(k + -3) Combine like terms: 5k + k = 6k -12 + 6k = 4(k + -3) Reorder the terms: -12 + 6k = 4(-3 + k) -12 + 6k = (-3 * 4 + k * 4) -12 + 6k = (-12 + 4k) Add '12' to each side of the equation. -12 + 12 + 6k = -12 + 12 + 4k Combine like terms: -12 + 12 = 0 0 + 6k = -12 + 12 + 4k 6k = -12 + 12 + 4k Combine like terms: -12 + 12 = 0 6k = 0 + 4k 6k = 4k Solving 6k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 6k + -4k = 4k + -4k Combine like terms: 6k + -4k = 2k 2k = 4k + -4k Combine like terms: 4k + -4k = 0 2k = 0 Divide each side by '2'. k = 0 Simplifying k = 0
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