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Simplifying -8 + -5(1 + -4k) = 147 -8 + (1 * -5 + -4k * -5) = 147 -8 + (-5 + 20k) = 147 Combine like terms: -8 + -5 = -13 -13 + 20k = 147 Solving -13 + 20k = 147 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 20k = 147 + 13 Combine like terms: -13 + 13 = 0 0 + 20k = 147 + 13 20k = 147 + 13 Combine like terms: 147 + 13 = 160 20k = 160 Divide each side by '20'. k = 8 Simplifying k = 8
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