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Simplifying 243 = -2 + -7(8k + -3) Reorder the terms: 243 = -2 + -7(-3 + 8k) 243 = -2 + (-3 * -7 + 8k * -7) 243 = -2 + (21 + -56k) Combine like terms: -2 + 21 = 19 243 = 19 + -56k Solving 243 = 19 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. 243 + 56k = 19 + -56k + 56k Combine like terms: -56k + 56k = 0 243 + 56k = 19 + 0 243 + 56k = 19 Add '-243' to each side of the equation. 243 + -243 + 56k = 19 + -243 Combine like terms: 243 + -243 = 0 0 + 56k = 19 + -243 56k = 19 + -243 Combine like terms: 19 + -243 = -224 56k = -224 Divide each side by '56'. k = -4 Simplifying k = -4
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