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Simplifying 3k + 7 = 2(4k + -12) + 66 Reorder the terms: 7 + 3k = 2(4k + -12) + 66 Reorder the terms: 7 + 3k = 2(-12 + 4k) + 66 7 + 3k = (-12 * 2 + 4k * 2) + 66 7 + 3k = (-24 + 8k) + 66 Reorder the terms: 7 + 3k = -24 + 66 + 8k Combine like terms: -24 + 66 = 42 7 + 3k = 42 + 8k Solving 7 + 3k = 42 + 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. 7 + 3k + -8k = 42 + 8k + -8k Combine like terms: 3k + -8k = -5k 7 + -5k = 42 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -5k = 42 + 0 7 + -5k = 42 Add '-7' to each side of the equation. 7 + -7 + -5k = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -5k = 42 + -7 -5k = 42 + -7 Combine like terms: 42 + -7 = 35 -5k = 35 Divide each side by '-5'. k = -7 Simplifying k = -7
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