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Simplifying 3(x + a) = k(x + -2) Reorder the terms: 3(a + x) = k(x + -2) (a * 3 + x * 3) = k(x + -2) (3a + 3x) = k(x + -2) Reorder the terms: 3a + 3x = k(-2 + x) 3a + 3x = (-2 * k + x * k) 3a + 3x = (-2k + kx) Solving 3a + 3x = -2k + kx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 3a + 3x + -3x = -2k + kx + -3x Combine like terms: 3x + -3x = 0 3a + 0 = -2k + kx + -3x 3a = -2k + kx + -3x Divide each side by '3'. a = -0.6666666667k + 0.3333333333kx + -1x Simplifying a = -0.6666666667k + 0.3333333333kx + -1x
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