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Simplifying -7(k + 1) + -6(3 + 4k) = 68 Reorder the terms: -7(1 + k) + -6(3 + 4k) = 68 (1 * -7 + k * -7) + -6(3 + 4k) = 68 (-7 + -7k) + -6(3 + 4k) = 68 -7 + -7k + (3 * -6 + 4k * -6) = 68 -7 + -7k + (-18 + -24k) = 68 Reorder the terms: -7 + -18 + -7k + -24k = 68 Combine like terms: -7 + -18 = -25 -25 + -7k + -24k = 68 Combine like terms: -7k + -24k = -31k -25 + -31k = 68 Solving -25 + -31k = 68 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -31k = 68 + 25 Combine like terms: -25 + 25 = 0 0 + -31k = 68 + 25 -31k = 68 + 25 Combine like terms: 68 + 25 = 93 -31k = 93 Divide each side by '-31'. k = -3 Simplifying k = -3
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