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