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Simplifying 6(-50 + 9) + -1(5k + 8) = -4 Combine like terms: -50 + 9 = -41 6(-41) + -1(5k + 8) = -4 Multiply 6 * -41 -246 + -1(5k + 8) = -4 Reorder the terms: -246 + -1(8 + 5k) = -4 -246 + (8 * -1 + 5k * -1) = -4 -246 + (-8 + -5k) = -4 Combine like terms: -246 + -8 = -254 -254 + -5k = -4 Solving -254 + -5k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '254' to each side of the equation. -254 + 254 + -5k = -4 + 254 Combine like terms: -254 + 254 = 0 0 + -5k = -4 + 254 -5k = -4 + 254 Combine like terms: -4 + 254 = 250 -5k = 250 Divide each side by '-5'. k = -50 Simplifying k = -50
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