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Simplifying 2k + 34 = -2(2k + 4) Reorder the terms: 34 + 2k = -2(2k + 4) Reorder the terms: 34 + 2k = -2(4 + 2k) 34 + 2k = (4 * -2 + 2k * -2) 34 + 2k = (-8 + -4k) Solving 34 + 2k = -8 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 34 + 2k + 4k = -8 + -4k + 4k Combine like terms: 2k + 4k = 6k 34 + 6k = -8 + -4k + 4k Combine like terms: -4k + 4k = 0 34 + 6k = -8 + 0 34 + 6k = -8 Add '-34' to each side of the equation. 34 + -34 + 6k = -8 + -34 Combine like terms: 34 + -34 = 0 0 + 6k = -8 + -34 6k = -8 + -34 Combine like terms: -8 + -34 = -42 6k = -42 Divide each side by '6'. k = -7 Simplifying k = -7
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