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Simplifying 154 = -7(-5k + -2) Reorder the terms: 154 = -7(-2 + -5k) 154 = (-2 * -7 + -5k * -7) 154 = (14 + 35k) Solving 154 = 14 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 154 + -35k = 14 + 35k + -35k Combine like terms: 35k + -35k = 0 154 + -35k = 14 + 0 154 + -35k = 14 Add '-154' to each side of the equation. 154 + -154 + -35k = 14 + -154 Combine like terms: 154 + -154 = 0 0 + -35k = 14 + -154 -35k = 14 + -154 Combine like terms: 14 + -154 = -140 -35k = -140 Divide each side by '-35'. k = 4 Simplifying k = 4
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