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Simplifying 14(k + -3) + -22k = -18 Reorder the terms: 14(-3 + k) + -22k = -18 (-3 * 14 + k * 14) + -22k = -18 (-42 + 14k) + -22k = -18 Combine like terms: 14k + -22k = -8k -42 + -8k = -18 Solving -42 + -8k = -18 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 = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -8k = -18 + 42 -8k = -18 + 42 Combine like terms: -18 + 42 = 24 -8k = 24 Divide each side by '-8'. k = -3 Simplifying k = -3
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