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Simplifying 5(7 + -4k) = -5(k + 2) (7 * 5 + -4k * 5) = -5(k + 2) (35 + -20k) = -5(k + 2) Reorder the terms: 35 + -20k = -5(2 + k) 35 + -20k = (2 * -5 + k * -5) 35 + -20k = (-10 + -5k) Solving 35 + -20k = -10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 35 + -20k + 5k = -10 + -5k + 5k Combine like terms: -20k + 5k = -15k 35 + -15k = -10 + -5k + 5k Combine like terms: -5k + 5k = 0 35 + -15k = -10 + 0 35 + -15k = -10 Add '-35' to each side of the equation. 35 + -35 + -15k = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -15k = -10 + -35 -15k = -10 + -35 Combine like terms: -10 + -35 = -45 -15k = -45 Divide each side by '-15'. k = 3 Simplifying k = 3
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