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Simplifying -38 + 8k = -5(1 + 5k) -38 + 8k = (1 * -5 + 5k * -5) -38 + 8k = (-5 + -25k) Solving -38 + 8k = -5 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -38 + 8k + 25k = -5 + -25k + 25k Combine like terms: 8k + 25k = 33k -38 + 33k = -5 + -25k + 25k Combine like terms: -25k + 25k = 0 -38 + 33k = -5 + 0 -38 + 33k = -5 Add '38' to each side of the equation. -38 + 38 + 33k = -5 + 38 Combine like terms: -38 + 38 = 0 0 + 33k = -5 + 38 33k = -5 + 38 Combine like terms: -5 + 38 = 33 33k = 33 Divide each side by '33'. k = 1 Simplifying k = 1
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