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Simplifying 34 + -4k = -7(6k + 6) Reorder the terms: 34 + -4k = -7(6 + 6k) 34 + -4k = (6 * -7 + 6k * -7) 34 + -4k = (-42 + -42k) Solving 34 + -4k = -42 + -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. 34 + -4k + 42k = -42 + -42k + 42k Combine like terms: -4k + 42k = 38k 34 + 38k = -42 + -42k + 42k Combine like terms: -42k + 42k = 0 34 + 38k = -42 + 0 34 + 38k = -42 Add '-34' to each side of the equation. 34 + -34 + 38k = -42 + -34 Combine like terms: 34 + -34 = 0 0 + 38k = -42 + -34 38k = -42 + -34 Combine like terms: -42 + -34 = -76 38k = -76 Divide each side by '38'. k = -2 Simplifying k = -2
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