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Simplifying 34 = k + 3(k + -2) Reorder the terms: 34 = k + 3(-2 + k) 34 = k + (-2 * 3 + k * 3) 34 = k + (-6 + 3k) Reorder the terms: 34 = -6 + k + 3k Combine like terms: k + 3k = 4k 34 = -6 + 4k Solving 34 = -6 + 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 + -4k = -6 + 4k + -4k Combine like terms: 4k + -4k = 0 34 + -4k = -6 + 0 34 + -4k = -6 Add '-34' to each side of the equation. 34 + -34 + -4k = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -4k = -6 + -34 -4k = -6 + -34 Combine like terms: -6 + -34 = -40 -4k = -40 Divide each side by '-4'. k = 10 Simplifying k = 10
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