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Simplifying 5(k + -2) = 10(3 + 9) Reorder the terms: 5(-2 + k) = 10(3 + 9) (-2 * 5 + k * 5) = 10(3 + 9) (-10 + 5k) = 10(3 + 9) Combine like terms: 3 + 9 = 12 -10 + 5k = 10(12) Multiply 10 * 12 -10 + 5k = 120 Solving -10 + 5k = 120 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 + 5k = 120 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = 120 + 10 5k = 120 + 10 Combine like terms: 120 + 10 = 130 5k = 130 Divide each side by '5'. k = 26 Simplifying k = 26
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