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Simplifying 10(k + -2) + 5 = 9 + 2k Reorder the terms: 10(-2 + k) + 5 = 9 + 2k (-2 * 10 + k * 10) + 5 = 9 + 2k (-20 + 10k) + 5 = 9 + 2k Reorder the terms: -20 + 5 + 10k = 9 + 2k Combine like terms: -20 + 5 = -15 -15 + 10k = 9 + 2k Solving -15 + 10k = 9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -15 + 10k + -2k = 9 + 2k + -2k Combine like terms: 10k + -2k = 8k -15 + 8k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 -15 + 8k = 9 + 0 -15 + 8k = 9 Add '15' to each side of the equation. -15 + 15 + 8k = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = 9 + 15 8k = 9 + 15 Combine like terms: 9 + 15 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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