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Simplifying -5k + -4(k + -3) = -6k + 3 Reorder the terms: -5k + -4(-3 + k) = -6k + 3 -5k + (-3 * -4 + k * -4) = -6k + 3 -5k + (12 + -4k) = -6k + 3 Reorder the terms: 12 + -5k + -4k = -6k + 3 Combine like terms: -5k + -4k = -9k 12 + -9k = -6k + 3 Reorder the terms: 12 + -9k = 3 + -6k Solving 12 + -9k = 3 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 12 + -9k + 6k = 3 + -6k + 6k Combine like terms: -9k + 6k = -3k 12 + -3k = 3 + -6k + 6k Combine like terms: -6k + 6k = 0 12 + -3k = 3 + 0 12 + -3k = 3 Add '-12' to each side of the equation. 12 + -12 + -3k = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3k = 3 + -12 -3k = 3 + -12 Combine like terms: 3 + -12 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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