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Simplifying -7(-2k + 6) + -5(-2 + 7k) = 10 Reorder the terms: -7(6 + -2k) + -5(-2 + 7k) = 10 (6 * -7 + -2k * -7) + -5(-2 + 7k) = 10 (-42 + 14k) + -5(-2 + 7k) = 10 -42 + 14k + (-2 * -5 + 7k * -5) = 10 -42 + 14k + (10 + -35k) = 10 Reorder the terms: -42 + 10 + 14k + -35k = 10 Combine like terms: -42 + 10 = -32 -32 + 14k + -35k = 10 Combine like terms: 14k + -35k = -21k -32 + -21k = 10 Solving -32 + -21k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -21k = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -21k = 10 + 32 -21k = 10 + 32 Combine like terms: 10 + 32 = 42 -21k = 42 Divide each side by '-21'. k = -2 Simplifying k = -2
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