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Simplifying -5 + -7k + 4 + -6k = -3(-3k + 3) + -5(4k + -2) Reorder the terms: -5 + 4 + -7k + -6k = -3(-3k + 3) + -5(4k + -2) Combine like terms: -5 + 4 = -1 -1 + -7k + -6k = -3(-3k + 3) + -5(4k + -2) Combine like terms: -7k + -6k = -13k -1 + -13k = -3(-3k + 3) + -5(4k + -2) Reorder the terms: -1 + -13k = -3(3 + -3k) + -5(4k + -2) -1 + -13k = (3 * -3 + -3k * -3) + -5(4k + -2) -1 + -13k = (-9 + 9k) + -5(4k + -2) Reorder the terms: -1 + -13k = -9 + 9k + -5(-2 + 4k) -1 + -13k = -9 + 9k + (-2 * -5 + 4k * -5) -1 + -13k = -9 + 9k + (10 + -20k) Reorder the terms: -1 + -13k = -9 + 10 + 9k + -20k Combine like terms: -9 + 10 = 1 -1 + -13k = 1 + 9k + -20k Combine like terms: 9k + -20k = -11k -1 + -13k = 1 + -11k Solving -1 + -13k = 1 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -1 + -13k + 11k = 1 + -11k + 11k Combine like terms: -13k + 11k = -2k -1 + -2k = 1 + -11k + 11k Combine like terms: -11k + 11k = 0 -1 + -2k = 1 + 0 -1 + -2k = 1 Add '1' to each side of the equation. -1 + 1 + -2k = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = 1 + 1 -2k = 1 + 1 Combine like terms: 1 + 1 = 2 -2k = 2 Divide each side by '-2'. k = -1 Simplifying k = -1
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