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Simplifying -5 + -8(1 + -3k) = 19 -5 + (1 * -8 + -3k * -8) = 19 -5 + (-8 + 24k) = 19 Combine like terms: -5 + -8 = -13 -13 + 24k = 19 Solving -13 + 24k = 19 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 + 24k = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 24k = 19 + 13 24k = 19 + 13 Combine like terms: 19 + 13 = 32 24k = 32 Divide each side by '24'. k = 1.333333333 Simplifying k = 1.333333333
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