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Simplifying 5 + 8(k + -3) = 2 Reorder the terms: 5 + 8(-3 + k) = 2 5 + (-3 * 8 + k * 8) = 2 5 + (-24 + 8k) = 2 Combine like terms: 5 + -24 = -19 -19 + 8k = 2 Solving -19 + 8k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8k = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 8k = 2 + 19 8k = 2 + 19 Combine like terms: 2 + 19 = 21 8k = 21 Divide each side by '8'. k = 2.625 Simplifying k = 2.625
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