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Simplifying 6k + -14(k + 3) = 22 Reorder the terms: 6k + -14(3 + k) = 22 6k + (3 * -14 + k * -14) = 22 6k + (-42 + -14k) = 22 Reorder the terms: -42 + 6k + -14k = 22 Combine like terms: 6k + -14k = -8k -42 + -8k = 22 Solving -42 + -8k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -8k = 22 + 42 Combine like terms: -42 + 42 = 0 0 + -8k = 22 + 42 -8k = 22 + 42 Combine like terms: 22 + 42 = 64 -8k = 64 Divide each side by '-8'. k = -8 Simplifying k = -8
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