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Simplifying 10(k + -2) = -1(5 + -8k) + 3 Reorder the terms: 10(-2 + k) = -1(5 + -8k) + 3 (-2 * 10 + k * 10) = -1(5 + -8k) + 3 (-20 + 10k) = -1(5 + -8k) + 3 -20 + 10k = (5 * -1 + -8k * -1) + 3 -20 + 10k = (-5 + 8k) + 3 Reorder the terms: -20 + 10k = -5 + 3 + 8k Combine like terms: -5 + 3 = -2 -20 + 10k = -2 + 8k Solving -20 + 10k = -2 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -20 + 10k + -8k = -2 + 8k + -8k Combine like terms: 10k + -8k = 2k -20 + 2k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 -20 + 2k = -2 + 0 -20 + 2k = -2 Add '20' to each side of the equation. -20 + 20 + 2k = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = -2 + 20 2k = -2 + 20 Combine like terms: -2 + 20 = 18 2k = 18 Divide each side by '2'. k = 9 Simplifying k = 9
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