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Simplifying -3k + 10 = -12 + -8(k + 12) Reorder the terms: 10 + -3k = -12 + -8(k + 12) Reorder the terms: 10 + -3k = -12 + -8(12 + k) 10 + -3k = -12 + (12 * -8 + k * -8) 10 + -3k = -12 + (-96 + -8k) Combine like terms: -12 + -96 = -108 10 + -3k = -108 + -8k Solving 10 + -3k = -108 + -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. 10 + -3k + 8k = -108 + -8k + 8k Combine like terms: -3k + 8k = 5k 10 + 5k = -108 + -8k + 8k Combine like terms: -8k + 8k = 0 10 + 5k = -108 + 0 10 + 5k = -108 Add '-10' to each side of the equation. 10 + -10 + 5k = -108 + -10 Combine like terms: 10 + -10 = 0 0 + 5k = -108 + -10 5k = -108 + -10 Combine like terms: -108 + -10 = -118 5k = -118 Divide each side by '5'. k = -23.6 Simplifying k = -23.6
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