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Simplifying 12(k + -6) = -2(k + -7) Reorder the terms: 12(-6 + k) = -2(k + -7) (-6 * 12 + k * 12) = -2(k + -7) (-72 + 12k) = -2(k + -7) Reorder the terms: -72 + 12k = -2(-7 + k) -72 + 12k = (-7 * -2 + k * -2) -72 + 12k = (14 + -2k) Solving -72 + 12k = 14 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -72 + 12k + 2k = 14 + -2k + 2k Combine like terms: 12k + 2k = 14k -72 + 14k = 14 + -2k + 2k Combine like terms: -2k + 2k = 0 -72 + 14k = 14 + 0 -72 + 14k = 14 Add '72' to each side of the equation. -72 + 72 + 14k = 14 + 72 Combine like terms: -72 + 72 = 0 0 + 14k = 14 + 72 14k = 14 + 72 Combine like terms: 14 + 72 = 86 14k = 86 Divide each side by '14'. k = 6.142857143 Simplifying k = 6.142857143
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