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Simplifying k + -3(2 + -4x) = 7 + -1(8x + -9 + x) k + (2 * -3 + -4x * -3) = 7 + -1(8x + -9 + x) k + (-6 + 12x) = 7 + -1(8x + -9 + x) Reorder the terms: -6 + k + 12x = 7 + -1(8x + -9 + x) Reorder the terms: -6 + k + 12x = 7 + -1(-9 + 8x + x) Combine like terms: 8x + x = 9x -6 + k + 12x = 7 + -1(-9 + 9x) -6 + k + 12x = 7 + (-9 * -1 + 9x * -1) -6 + k + 12x = 7 + (9 + -9x) Combine like terms: 7 + 9 = 16 -6 + k + 12x = 16 + -9x Solving -6 + k + 12x = 16 + -9x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + k + 6 + 12x = 16 + 6 + -9x Reorder the terms: -6 + 6 + k + 12x = 16 + 6 + -9x Combine like terms: -6 + 6 = 0 0 + k + 12x = 16 + 6 + -9x k + 12x = 16 + 6 + -9x Combine like terms: 16 + 6 = 22 k + 12x = 22 + -9x Add '-12x' to each side of the equation. k + 12x + -12x = 22 + -9x + -12x Combine like terms: 12x + -12x = 0 k + 0 = 22 + -9x + -12x k = 22 + -9x + -12x Combine like terms: -9x + -12x = -21x k = 22 + -21x Simplifying k = 22 + -21x
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