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Simplifying 35 + 4k = -5 + -6(6 + -7k) 35 + 4k = -5 + (6 * -6 + -7k * -6) 35 + 4k = -5 + (-36 + 42k) Combine like terms: -5 + -36 = -41 35 + 4k = -41 + 42k Solving 35 + 4k = -41 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 35 + 4k + -42k = -41 + 42k + -42k Combine like terms: 4k + -42k = -38k 35 + -38k = -41 + 42k + -42k Combine like terms: 42k + -42k = 0 35 + -38k = -41 + 0 35 + -38k = -41 Add '-35' to each side of the equation. 35 + -35 + -38k = -41 + -35 Combine like terms: 35 + -35 = 0 0 + -38k = -41 + -35 -38k = -41 + -35 Combine like terms: -41 + -35 = -76 -38k = -76 Divide each side by '-38'. k = 2 Simplifying k = 2
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