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Simplifying 5k + -6 + k = 3(4k + -6) Reorder the terms: -6 + 5k + k = 3(4k + -6) Combine like terms: 5k + k = 6k -6 + 6k = 3(4k + -6) Reorder the terms: -6 + 6k = 3(-6 + 4k) -6 + 6k = (-6 * 3 + 4k * 3) -6 + 6k = (-18 + 12k) Solving -6 + 6k = -18 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -6 + 6k + -12k = -18 + 12k + -12k Combine like terms: 6k + -12k = -6k -6 + -6k = -18 + 12k + -12k Combine like terms: 12k + -12k = 0 -6 + -6k = -18 + 0 -6 + -6k = -18 Add '6' to each side of the equation. -6 + 6 + -6k = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -6k = -18 + 6 -6k = -18 + 6 Combine like terms: -18 + 6 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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