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Simplifying 8 + -5k = 1 + -4(2 + 5k) 8 + -5k = 1 + (2 * -4 + 5k * -4) 8 + -5k = 1 + (-8 + -20k) Combine like terms: 1 + -8 = -7 8 + -5k = -7 + -20k Solving 8 + -5k = -7 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 8 + -5k + 20k = -7 + -20k + 20k Combine like terms: -5k + 20k = 15k 8 + 15k = -7 + -20k + 20k Combine like terms: -20k + 20k = 0 8 + 15k = -7 + 0 8 + 15k = -7 Add '-8' to each side of the equation. 8 + -8 + 15k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 15k = -7 + -8 15k = -7 + -8 Combine like terms: -7 + -8 = -15 15k = -15 Divide each side by '15'. k = -1 Simplifying k = -1
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