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Simplifying 14(6k + -7) + -12 = -26 Reorder the terms: 14(-7 + 6k) + -12 = -26 (-7 * 14 + 6k * 14) + -12 = -26 (-98 + 84k) + -12 = -26 Reorder the terms: -98 + -12 + 84k = -26 Combine like terms: -98 + -12 = -110 -110 + 84k = -26 Solving -110 + 84k = -26 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + 84k = -26 + 110 Combine like terms: -110 + 110 = 0 0 + 84k = -26 + 110 84k = -26 + 110 Combine like terms: -26 + 110 = 84 84k = 84 Divide each side by '84'. k = 1 Simplifying k = 1
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