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Simplifying -1k + -12 = 5 + -6(k + 7) Reorder the terms: -12 + -1k = 5 + -6(k + 7) Reorder the terms: -12 + -1k = 5 + -6(7 + k) -12 + -1k = 5 + (7 * -6 + k * -6) -12 + -1k = 5 + (-42 + -6k) Combine like terms: 5 + -42 = -37 -12 + -1k = -37 + -6k Solving -12 + -1k = -37 + -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 + -1k + 6k = -37 + -6k + 6k Combine like terms: -1k + 6k = 5k -12 + 5k = -37 + -6k + 6k Combine like terms: -6k + 6k = 0 -12 + 5k = -37 + 0 -12 + 5k = -37 Add '12' to each side of the equation. -12 + 12 + 5k = -37 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = -37 + 12 5k = -37 + 12 Combine like terms: -37 + 12 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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