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Simplifying -2(4k + -6) = -3k + 7 Reorder the terms: -2(-6 + 4k) = -3k + 7 (-6 * -2 + 4k * -2) = -3k + 7 (12 + -8k) = -3k + 7 Reorder the terms: 12 + -8k = 7 + -3k Solving 12 + -8k = 7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 12 + -8k + 3k = 7 + -3k + 3k Combine like terms: -8k + 3k = -5k 12 + -5k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + -5k = 7 + 0 12 + -5k = 7 Add '-12' to each side of the equation. 12 + -12 + -5k = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5k = 7 + -12 -5k = 7 + -12 Combine like terms: 7 + -12 = -5 -5k = -5 Divide each side by '-5'. k = 1 Simplifying k = 1
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