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Simplifying 5(k + -2) + 2(-2 + 3) = 0 Reorder the terms: 5(-2 + k) + 2(-2 + 3) = 0 (-2 * 5 + k * 5) + 2(-2 + 3) = 0 (-10 + 5k) + 2(-2 + 3) = 0 Combine like terms: -2 + 3 = 1 -10 + 5k + 2(1) = 0 Multiply 2 * 1 -10 + 5k + 2 = 0 Reorder the terms: -10 + 2 + 5k = 0 Combine like terms: -10 + 2 = -8 -8 + 5k = 0 Solving -8 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = 0 + 8 5k = 0 + 8 Combine like terms: 0 + 8 = 8 5k = 8 Divide each side by '5'. k = 1.6 Simplifying k = 1.6
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