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Simplifying 4k + 2(k + -6) = 30 Reorder the terms: 4k + 2(-6 + k) = 30 4k + (-6 * 2 + k * 2) = 30 4k + (-12 + 2k) = 30 Reorder the terms: -12 + 4k + 2k = 30 Combine like terms: 4k + 2k = 6k -12 + 6k = 30 Solving -12 + 6k = 30 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 + 6k = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6k = 30 + 12 6k = 30 + 12 Combine like terms: 30 + 12 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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