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Simplifying 2(k + -5) = 2(5x + -8) Reorder the terms: 2(-5 + k) = 2(5x + -8) (-5 * 2 + k * 2) = 2(5x + -8) (-10 + 2k) = 2(5x + -8) Reorder the terms: -10 + 2k = 2(-8 + 5x) -10 + 2k = (-8 * 2 + 5x * 2) -10 + 2k = (-16 + 10x) Solving -10 + 2k = -16 + 10x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2k = -16 + 10 + 10x Combine like terms: -10 + 10 = 0 0 + 2k = -16 + 10 + 10x 2k = -16 + 10 + 10x Combine like terms: -16 + 10 = -6 2k = -6 + 10x Divide each side by '2'. k = -3 + 5x Simplifying k = -3 + 5x
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