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Simplifying -23 + -2k = 5(3 + -8k) -23 + -2k = (3 * 5 + -8k * 5) -23 + -2k = (15 + -40k) Solving -23 + -2k = 15 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -23 + -2k + 40k = 15 + -40k + 40k Combine like terms: -2k + 40k = 38k -23 + 38k = 15 + -40k + 40k Combine like terms: -40k + 40k = 0 -23 + 38k = 15 + 0 -23 + 38k = 15 Add '23' to each side of the equation. -23 + 23 + 38k = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 38k = 15 + 23 38k = 15 + 23 Combine like terms: 15 + 23 = 38 38k = 38 Divide each side by '38'. k = 1 Simplifying k = 1
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