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Simplifying -1(1 + 7k) + -4k = -3(3k + 3) (1 * -1 + 7k * -1) + -4k = -3(3k + 3) (-1 + -7k) + -4k = -3(3k + 3) Combine like terms: -7k + -4k = -11k -1 + -11k = -3(3k + 3) Reorder the terms: -1 + -11k = -3(3 + 3k) -1 + -11k = (3 * -3 + 3k * -3) -1 + -11k = (-9 + -9k) Solving -1 + -11k = -9 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -1 + -11k + 9k = -9 + -9k + 9k Combine like terms: -11k + 9k = -2k -1 + -2k = -9 + -9k + 9k Combine like terms: -9k + 9k = 0 -1 + -2k = -9 + 0 -1 + -2k = -9 Add '1' to each side of the equation. -1 + 1 + -2k = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = -9 + 1 -2k = -9 + 1 Combine like terms: -9 + 1 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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