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Simplifying -2k + (4k + -7) = -10 + 2(10 + -6k) Reorder the terms: -2k + (-7 + 4k) = -10 + 2(10 + -6k) Remove parenthesis around (-7 + 4k) -2k + -7 + 4k = -10 + 2(10 + -6k) Reorder the terms: -7 + -2k + 4k = -10 + 2(10 + -6k) Combine like terms: -2k + 4k = 2k -7 + 2k = -10 + 2(10 + -6k) -7 + 2k = -10 + (10 * 2 + -6k * 2) -7 + 2k = -10 + (20 + -12k) Combine like terms: -10 + 20 = 10 -7 + 2k = 10 + -12k Solving -7 + 2k = 10 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -7 + 2k + 12k = 10 + -12k + 12k Combine like terms: 2k + 12k = 14k -7 + 14k = 10 + -12k + 12k Combine like terms: -12k + 12k = 0 -7 + 14k = 10 + 0 -7 + 14k = 10 Add '7' to each side of the equation. -7 + 7 + 14k = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 14k = 10 + 7 14k = 10 + 7 Combine like terms: 10 + 7 = 17 14k = 17 Divide each side by '14'. k = 1.214285714 Simplifying k = 1.214285714
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