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Simplifying 10x + -6(2k + 5) = 20 Reorder the terms: 10x + -6(5 + 2k) = 20 10x + (5 * -6 + 2k * -6) = 20 10x + (-30 + -12k) = 20 Reorder the terms: -30 + -12k + 10x = 20 Solving -30 + -12k + 10x = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -12k + 30 + 10x = 20 + 30 Reorder the terms: -30 + 30 + -12k + 10x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + -12k + 10x = 20 + 30 -12k + 10x = 20 + 30 Combine like terms: 20 + 30 = 50 -12k + 10x = 50 Add '-10x' to each side of the equation. -12k + 10x + -10x = 50 + -10x Combine like terms: 10x + -10x = 0 -12k + 0 = 50 + -10x -12k = 50 + -10x Divide each side by '-12'. k = -4.166666667 + 0.8333333333x Simplifying k = -4.166666667 + 0.8333333333x
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